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Finding the Fourth Proportional to 1,239.49, 1,710.41 and 742.13

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Solution

The fourth proportional to 1,239.49, 1,710.41 and 742.13 is: 1,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.49 : 1,710.41 = 742.13 : x
  2. Step 2: Convert to fraction form
    1,239.49/1,710.41 = 742.13/x
  3. Step 3: Cross multiply
    1,239.49x = 1,710.41 × 742.13
  4. Step 4: Simplify right side
    1,239.49x = 1,269,346.57
  5. Step 5: Solve for x
    x = 1,269,346.57/1,239.49
  6. Step 6: Final answer
    x = 1,024.09

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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.