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Finding the Fourth Proportional to 932.26, 1,396.15 and 566.14

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Solution

The fourth proportional to 932.26, 1,396.15 and 566.14 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.26 : 1,396.15 = 566.14 : x
  2. Step 2: Convert to fraction form
    932.26/1,396.15 = 566.14/x
  3. Step 3: Cross multiply
    932.26x = 1,396.15 × 566.14
  4. Step 4: Simplify right side
    932.26x = 790,416.36
  5. Step 5: Solve for x
    x = 790,416.36/932.26
  6. Step 6: Final answer
    x = 847.85

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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.