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Finding the Fourth Proportional to 1,663.27, 2,495.21 and 689.45

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Solution

The fourth proportional to 1,663.27, 2,495.21 and 689.45 is: 1,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.27 : 2,495.21 = 689.45 : x
  2. Step 2: Convert to fraction form
    1,663.27/2,495.21 = 689.45/x
  3. Step 3: Cross multiply
    1,663.27x = 2,495.21 × 689.45
  4. Step 4: Simplify right side
    1,663.27x = 1,720,306.61
  5. Step 5: Solve for x
    x = 1,720,306.61/1,663.27
  6. Step 6: Final answer
    x = 1,034.29

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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.