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Finding the Fourth Proportional to 929.12, 1,392.24 and 496.16

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Solution

The fourth proportional to 929.12, 1,392.24 and 496.16 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,392.24 = 496.16 : x
  2. Step 2: Convert to fraction form
    929.12/1,392.24 = 496.16/x
  3. Step 3: Cross multiply
    929.12x = 1,392.24 × 496.16
  4. Step 4: Simplify right side
    929.12x = 690,773.80
  5. Step 5: Solve for x
    x = 690,773.80/929.12
  6. Step 6: Final answer
    x = 743.47

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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.