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Finding the Fourth Proportional to 1,171.08, 1,616.02 and 639.92

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Solution

The fourth proportional to 1,171.08, 1,616.02 and 639.92 is: 883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.08 : 1,616.02 = 639.92 : x
  2. Step 2: Convert to fraction form
    1,171.08/1,616.02 = 639.92/x
  3. Step 3: Cross multiply
    1,171.08x = 1,616.02 × 639.92
  4. Step 4: Simplify right side
    1,171.08x = 1,034,125.96
  5. Step 5: Solve for x
    x = 1,034,125.96/1,171.08
  6. Step 6: Final answer
    x = 883.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.