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Finding the Fourth Proportional to 1,337.12, 2,005.68 and 363.24

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Solution

The fourth proportional to 1,337.12, 2,005.68 and 363.24 is: 544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.12 : 2,005.68 = 363.24 : x
  2. Step 2: Convert to fraction form
    1,337.12/2,005.68 = 363.24/x
  3. Step 3: Cross multiply
    1,337.12x = 2,005.68 × 363.24
  4. Step 4: Simplify right side
    1,337.12x = 728,543.20
  5. Step 5: Solve for x
    x = 728,543.20/1,337.12
  6. Step 6: Final answer
    x = 544.86

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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.