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Finding the Fourth Proportional to 1,432.02, 2,149.24 and 566.94

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Solution

The fourth proportional to 1,432.02, 2,149.24 and 566.94 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.02 : 2,149.24 = 566.94 : x
  2. Step 2: Convert to fraction form
    1,432.02/2,149.24 = 566.94/x
  3. Step 3: Cross multiply
    1,432.02x = 2,149.24 × 566.94
  4. Step 4: Simplify right side
    1,432.02x = 1,218,490.13
  5. Step 5: Solve for x
    x = 1,218,490.13/1,432.02
  6. Step 6: Final answer
    x = 850.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.