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Finding the Fourth Proportional to 998.76, 1,377.86 and 649.48

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Solution

The fourth proportional to 998.76, 1,377.86 and 649.48 is: 896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,377.86 = 649.48 : x
  2. Step 2: Convert to fraction form
    998.76/1,377.86 = 649.48/x
  3. Step 3: Cross multiply
    998.76x = 1,377.86 × 649.48
  4. Step 4: Simplify right side
    998.76x = 894,892.51
  5. Step 5: Solve for x
    x = 894,892.51/998.76
  6. Step 6: Final answer
    x = 896.00

Related Problems

Find fourth proportional to 499.38, 688.93 and 324.74
Half scale
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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.