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Finding the Fourth Proportional to 1,229.03, 1,695.49 and 731.40

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Solution

The fourth proportional to 1,229.03, 1,695.49 and 731.40 is: 1,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.03 : 1,695.49 = 731.40 : x
  2. Step 2: Convert to fraction form
    1,229.03/1,695.49 = 731.40/x
  3. Step 3: Cross multiply
    1,229.03x = 1,695.49 × 731.40
  4. Step 4: Simplify right side
    1,229.03x = 1,240,081.39
  5. Step 5: Solve for x
    x = 1,240,081.39/1,229.03
  6. Step 6: Final answer
    x = 1,008.99

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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.