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Finding the Fourth Proportional to 1,331.61, 1,837.66 and 742.16

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Solution

The fourth proportional to 1,331.61, 1,837.66 and 742.16 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.61 : 1,837.66 = 742.16 : x
  2. Step 2: Convert to fraction form
    1,331.61/1,837.66 = 742.16/x
  3. Step 3: Cross multiply
    1,331.61x = 1,837.66 × 742.16
  4. Step 4: Simplify right side
    1,331.61x = 1,363,843.96
  5. Step 5: Solve for x
    x = 1,363,843.96/1,331.61
  6. Step 6: Final answer
    x = 1,024.20

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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.