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Finding the Fourth Proportional to 1,288.59, 1,932.67 and 363.94

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Solution

The fourth proportional to 1,288.59, 1,932.67 and 363.94 is: 545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.59 : 1,932.67 = 363.94 : x
  2. Step 2: Convert to fraction form
    1,288.59/1,932.67 = 363.94/x
  3. Step 3: Cross multiply
    1,288.59x = 1,932.67 × 363.94
  4. Step 4: Simplify right side
    1,288.59x = 703,365.35
  5. Step 5: Solve for x
    x = 703,365.35/1,288.59
  6. Step 6: Final answer
    x = 545.84

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Why These Related Problems?

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