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Finding the Fourth Proportional to 1,136.52, 1,567.86 and 717.24

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Solution

The fourth proportional to 1,136.52, 1,567.86 and 717.24 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.52 : 1,567.86 = 717.24 : x
  2. Step 2: Convert to fraction form
    1,136.52/1,567.86 = 717.24/x
  3. Step 3: Cross multiply
    1,136.52x = 1,567.86 × 717.24
  4. Step 4: Simplify right side
    1,136.52x = 1,124,531.91
  5. Step 5: Solve for x
    x = 1,124,531.91/1,136.52
  6. Step 6: Final answer
    x = 989.45

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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.