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Finding the Fourth Proportional to 1,331.68, 1,837.56 and 742.18

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Solution

The fourth proportional to 1,331.68, 1,837.56 and 742.18 is: 1,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.68 : 1,837.56 = 742.18 : x
  2. Step 2: Convert to fraction form
    1,331.68/1,837.56 = 742.18/x
  3. Step 3: Cross multiply
    1,331.68x = 1,837.56 × 742.18
  4. Step 4: Simplify right side
    1,331.68x = 1,363,800.28
  5. Step 5: Solve for x
    x = 1,363,800.28/1,331.68
  6. Step 6: Final answer
    x = 1,024.12

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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.