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Finding the Fourth Proportional to 717.49, 1,077.24 and 371.08

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Solution

The fourth proportional to 717.49, 1,077.24 and 371.08 is: 557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.49 : 1,077.24 = 371.08 : x
  2. Step 2: Convert to fraction form
    717.49/1,077.24 = 371.08/x
  3. Step 3: Cross multiply
    717.49x = 1,077.24 × 371.08
  4. Step 4: Simplify right side
    717.49x = 399,742.22
  5. Step 5: Solve for x
    x = 399,742.22/717.49
  6. Step 6: Final answer
    x = 557.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.