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Finding the Fourth Proportional to 1,086.92, 1,630.44 and 437.70

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Solution

The fourth proportional to 1,086.92, 1,630.44 and 437.70 is: 656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.92 : 1,630.44 = 437.70 : x
  2. Step 2: Convert to fraction form
    1,086.92/1,630.44 = 437.70/x
  3. Step 3: Cross multiply
    1,086.92x = 1,630.44 × 437.70
  4. Step 4: Simplify right side
    1,086.92x = 713,643.59
  5. Step 5: Solve for x
    x = 713,643.59/1,086.92
  6. Step 6: Final answer
    x = 656.57

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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.