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Finding the Fourth Proportional to 1,103.93, 1,655.69 and 642.61

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Solution

The fourth proportional to 1,103.93, 1,655.69 and 642.61 is: 963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.93 : 1,655.69 = 642.61 : x
  2. Step 2: Convert to fraction form
    1,103.93/1,655.69 = 642.61/x
  3. Step 3: Cross multiply
    1,103.93x = 1,655.69 × 642.61
  4. Step 4: Simplify right side
    1,103.93x = 1,063,957.21
  5. Step 5: Solve for x
    x = 1,063,957.21/1,103.93
  6. Step 6: Final answer
    x = 963.79

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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.