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Finding the Fourth Proportional to 1,104.15, 1,655.68 and 642.09

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Solution

The fourth proportional to 1,104.15, 1,655.68 and 642.09 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.15 : 1,655.68 = 642.09 : x
  2. Step 2: Convert to fraction form
    1,104.15/1,655.68 = 642.09/x
  3. Step 3: Cross multiply
    1,104.15x = 1,655.68 × 642.09
  4. Step 4: Simplify right side
    1,104.15x = 1,063,097.55
  5. Step 5: Solve for x
    x = 1,063,097.55/1,104.15
  6. Step 6: Final answer
    x = 962.82

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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.