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Finding the Fourth Proportional to 1,062.20, 1,593.35 and 331.79

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Solution

The fourth proportional to 1,062.20, 1,593.35 and 331.79 is: 497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.20 : 1,593.35 = 331.79 : x
  2. Step 2: Convert to fraction form
    1,062.20/1,593.35 = 331.79/x
  3. Step 3: Cross multiply
    1,062.20x = 1,593.35 × 331.79
  4. Step 4: Simplify right side
    1,062.20x = 528,655.94
  5. Step 5: Solve for x
    x = 528,655.94/1,062.20
  6. Step 6: Final answer
    x = 497.70

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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.