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Finding the Fourth Proportional to 1,009.52, 1,512.23 and 663.02

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Solution

The fourth proportional to 1,009.52, 1,512.23 and 663.02 is: 993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.52 : 1,512.23 = 663.02 : x
  2. Step 2: Convert to fraction form
    1,009.52/1,512.23 = 663.02/x
  3. Step 3: Cross multiply
    1,009.52x = 1,512.23 × 663.02
  4. Step 4: Simplify right side
    1,009.52x = 1,002,635.42
  5. Step 5: Solve for x
    x = 1,002,635.42/1,009.52
  6. Step 6: Final answer
    x = 993.18

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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.