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Finding the Fourth Proportional to 1,087.63, 1,630.53 and 438.82

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Solution

The fourth proportional to 1,087.63, 1,630.53 and 438.82 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.63 : 1,630.53 = 438.82 : x
  2. Step 2: Convert to fraction form
    1,087.63/1,630.53 = 438.82/x
  3. Step 3: Cross multiply
    1,087.63x = 1,630.53 × 438.82
  4. Step 4: Simplify right side
    1,087.63x = 715,505.10
  5. Step 5: Solve for x
    x = 715,505.10/1,087.63
  6. Step 6: Final answer
    x = 657.86

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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.