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Finding the Fourth Proportional to 1,136.32, 1,702.92 and 587.36

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Solution

The fourth proportional to 1,136.32, 1,702.92 and 587.36 is: 880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.32 : 1,702.92 = 587.36 : x
  2. Step 2: Convert to fraction form
    1,136.32/1,702.92 = 587.36/x
  3. Step 3: Cross multiply
    1,136.32x = 1,702.92 × 587.36
  4. Step 4: Simplify right side
    1,136.32x = 1,000,227.09
  5. Step 5: Solve for x
    x = 1,000,227.09/1,136.32
  6. Step 6: Final answer
    x = 880.23

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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.