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Finding the Fourth Proportional to 1,086.62, 1,630.86 and 437.82

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Solution

The fourth proportional to 1,086.62, 1,630.86 and 437.82 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.62 : 1,630.86 = 437.82 : x
  2. Step 2: Convert to fraction form
    1,086.62/1,630.86 = 437.82/x
  3. Step 3: Cross multiply
    1,086.62x = 1,630.86 × 437.82
  4. Step 4: Simplify right side
    1,086.62x = 714,023.13
  5. Step 5: Solve for x
    x = 714,023.13/1,086.62
  6. Step 6: Final answer
    x = 657.10

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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.