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Finding the Fourth Proportional to 998.76, 1,378.14 and 584.76

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Solution

The fourth proportional to 998.76, 1,378.14 and 584.76 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,378.14 = 584.76 : x
  2. Step 2: Convert to fraction form
    998.76/1,378.14 = 584.76/x
  3. Step 3: Cross multiply
    998.76x = 1,378.14 × 584.76
  4. Step 4: Simplify right side
    998.76x = 805,881.15
  5. Step 5: Solve for x
    x = 805,881.15/998.76
  6. Step 6: Final answer
    x = 806.88

Related Problems

Find fourth proportional to 499.38, 689.07 and 292.38
Half scale
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Double scale
Find fourth proportional to 999.76, 1,379.52 and 585.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.