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Finding the Fourth Proportional to 773.47, 1,158.11 and 566.47

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Solution

The fourth proportional to 773.47, 1,158.11 and 566.47 is: 848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.47 : 1,158.11 = 566.47 : x
  2. Step 2: Convert to fraction form
    773.47/1,158.11 = 566.47/x
  3. Step 3: Cross multiply
    773.47x = 1,158.11 × 566.47
  4. Step 4: Simplify right side
    773.47x = 656,025.95
  5. Step 5: Solve for x
    x = 656,025.95/773.47
  6. Step 6: Final answer
    x = 848.17

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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.