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Finding the Fourth Proportional to 1,088.94, 1,630.17 and 654.78

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Solution

The fourth proportional to 1,088.94, 1,630.17 and 654.78 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.94 : 1,630.17 = 654.78 : x
  2. Step 2: Convert to fraction form
    1,088.94/1,630.17 = 654.78/x
  3. Step 3: Cross multiply
    1,088.94x = 1,630.17 × 654.78
  4. Step 4: Simplify right side
    1,088.94x = 1,067,402.71
  5. Step 5: Solve for x
    x = 1,067,402.71/1,088.94
  6. Step 6: Final answer
    x = 980.22

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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.