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Finding the Fourth Proportional to 1,288.35, 1,932.53 and 363.88

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Solution

The fourth proportional to 1,288.35, 1,932.53 and 363.88 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.35 : 1,932.53 = 363.88 : x
  2. Step 2: Convert to fraction form
    1,288.35/1,932.53 = 363.88/x
  3. Step 3: Cross multiply
    1,288.35x = 1,932.53 × 363.88
  4. Step 4: Simplify right side
    1,288.35x = 703,207.20
  5. Step 5: Solve for x
    x = 703,207.20/1,288.35
  6. Step 6: Final answer
    x = 545.82

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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.