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Finding the Fourth Proportional to 998.46, 1,377.48 and 584.46

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Solution

The fourth proportional to 998.46, 1,377.48 and 584.46 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.46 : 1,377.48 = 584.46 : x
  2. Step 2: Convert to fraction form
    998.46/1,377.48 = 584.46/x
  3. Step 3: Cross multiply
    998.46x = 1,377.48 × 584.46
  4. Step 4: Simplify right side
    998.46x = 805,081.96
  5. Step 5: Solve for x
    x = 805,081.96/998.46
  6. Step 6: Final answer
    x = 806.32

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Double scale
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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.