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Finding the Fourth Proportional to 1,062.72, 1,593.41 and 446.85

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Solution

The fourth proportional to 1,062.72, 1,593.41 and 446.85 is: 669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.72 : 1,593.41 = 446.85 : x
  2. Step 2: Convert to fraction form
    1,062.72/1,593.41 = 446.85/x
  3. Step 3: Cross multiply
    1,062.72x = 1,593.41 × 446.85
  4. Step 4: Simplify right side
    1,062.72x = 712,013.02
  5. Step 5: Solve for x
    x = 712,013.02/1,062.72
  6. Step 6: Final answer
    x = 669.99

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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.