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Finding the Fourth Proportional to 1,087.87, 1,631.79 and 438.59

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Solution

The fourth proportional to 1,087.87, 1,631.79 and 438.59 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.87 : 1,631.79 = 438.59 : x
  2. Step 2: Convert to fraction form
    1,087.87/1,631.79 = 438.59/x
  3. Step 3: Cross multiply
    1,087.87x = 1,631.79 × 438.59
  4. Step 4: Simplify right side
    1,087.87x = 715,686.78
  5. Step 5: Solve for x
    x = 715,686.78/1,087.87
  6. Step 6: Final answer
    x = 657.88

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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.