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Finding the Fourth Proportional to 1,239.48, 1,710.56 and 742.14

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Solution

The fourth proportional to 1,239.48, 1,710.56 and 742.14 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.48 : 1,710.56 = 742.14 : x
  2. Step 2: Convert to fraction form
    1,239.48/1,710.56 = 742.14/x
  3. Step 3: Cross multiply
    1,239.48x = 1,710.56 × 742.14
  4. Step 4: Simplify right side
    1,239.48x = 1,269,471.29
  5. Step 5: Solve for x
    x = 1,269,471.29/1,239.48
  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.