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Finding the Fourth Proportional to 1,229.43, 1,695.14 and 1,004.53

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Solution

The fourth proportional to 1,229.43, 1,695.14 and 1,004.53 is: 1,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.43 : 1,695.14 = 1,004.53 : x
  2. Step 2: Convert to fraction form
    1,229.43/1,695.14 = 1,004.53/x
  3. Step 3: Cross multiply
    1,229.43x = 1,695.14 × 1,004.53
  4. Step 4: Simplify right side
    1,229.43x = 1,702,821.14
  5. Step 5: Solve for x
    x = 1,702,821.14/1,229.43
  6. Step 6: Final answer
    x = 1,385.05

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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.