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Finding the Fourth Proportional to 1,087.79, 1,631.76 and 438.53

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Solution

The fourth proportional to 1,087.79, 1,631.76 and 438.53 is: 657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.79 : 1,631.76 = 438.53 : x
  2. Step 2: Convert to fraction form
    1,087.79/1,631.76 = 438.53/x
  3. Step 3: Cross multiply
    1,087.79x = 1,631.76 × 438.53
  4. Step 4: Simplify right side
    1,087.79x = 715,567.55
  5. Step 5: Solve for x
    x = 715,567.55/1,087.79
  6. Step 6: Final answer
    x = 657.82

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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.