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Finding the Fourth Proportional to 791.55, 1,187.84 and 358.71

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Solution

The fourth proportional to 791.55, 1,187.84 and 358.71 is: 538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.55 : 1,187.84 = 358.71 : x
  2. Step 2: Convert to fraction form
    791.55/1,187.84 = 358.71/x
  3. Step 3: Cross multiply
    791.55x = 1,187.84 × 358.71
  4. Step 4: Simplify right side
    791.55x = 426,082.35
  5. Step 5: Solve for x
    x = 426,082.35/791.55
  6. Step 6: Final answer
    x = 538.29

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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.