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Finding the Fourth Proportional to 1,087.38, 1,631.94 and 567.53

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Solution

The fourth proportional to 1,087.38, 1,631.94 and 567.53 is: 851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.38 : 1,631.94 = 567.53 : x
  2. Step 2: Convert to fraction form
    1,087.38/1,631.94 = 567.53/x
  3. Step 3: Cross multiply
    1,087.38x = 1,631.94 × 567.53
  4. Step 4: Simplify right side
    1,087.38x = 926,178.99
  5. Step 5: Solve for x
    x = 926,178.99/1,087.38
  6. Step 6: Final answer
    x = 851.75

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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.