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Finding the Fourth Proportional to 1,104.71, 1,659.56 and 643.59

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Solution

The fourth proportional to 1,104.71, 1,659.56 and 643.59 is: 966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.71 : 1,659.56 = 643.59 : x
  2. Step 2: Convert to fraction form
    1,104.71/1,659.56 = 643.59/x
  3. Step 3: Cross multiply
    1,104.71x = 1,659.56 × 643.59
  4. Step 4: Simplify right side
    1,104.71x = 1,068,073.00
  5. Step 5: Solve for x
    x = 1,068,073.00/1,104.71
  6. Step 6: Final answer
    x = 966.84

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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.