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Finding the Fourth Proportional to 756.96, 1,136.64 and 575.04

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Solution

The fourth proportional to 756.96, 1,136.64 and 575.04 is: 863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.96 : 1,136.64 = 575.04 : x
  2. Step 2: Convert to fraction form
    756.96/1,136.64 = 575.04/x
  3. Step 3: Cross multiply
    756.96x = 1,136.64 × 575.04
  4. Step 4: Simplify right side
    756.96x = 653,613.47
  5. Step 5: Solve for x
    x = 653,613.47/756.96
  6. Step 6: Final answer
    x = 863.47

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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.