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Finding the Fourth Proportional to 932.65, 1,396.41 and 566.53

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Solution

The fourth proportional to 932.65, 1,396.41 and 566.53 is: 848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.65 : 1,396.41 = 566.53 : x
  2. Step 2: Convert to fraction form
    932.65/1,396.41 = 566.53/x
  3. Step 3: Cross multiply
    932.65x = 1,396.41 × 566.53
  4. Step 4: Simplify right side
    932.65x = 791,108.16
  5. Step 5: Solve for x
    x = 791,108.16/932.65
  6. Step 6: Final answer
    x = 848.24

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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.