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Finding the Fourth Proportional to 1,009.20, 1,502.71 and 998.17

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Solution

The fourth proportional to 1,009.20, 1,502.71 and 998.17 is: 1,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.20 : 1,502.71 = 998.17 : x
  2. Step 2: Convert to fraction form
    1,009.20/1,502.71 = 998.17/x
  3. Step 3: Cross multiply
    1,009.20x = 1,502.71 × 998.17
  4. Step 4: Simplify right side
    1,009.20x = 1,499,960.04
  5. Step 5: Solve for x
    x = 1,499,960.04/1,009.20
  6. Step 6: Final answer
    x = 1,486.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.