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Finding the Fourth Proportional to 1,182.74, 1,773.51 and 689.31

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Solution

The fourth proportional to 1,182.74, 1,773.51 and 689.31 is: 1,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.74 : 1,773.51 = 689.31 : x
  2. Step 2: Convert to fraction form
    1,182.74/1,773.51 = 689.31/x
  3. Step 3: Cross multiply
    1,182.74x = 1,773.51 × 689.31
  4. Step 4: Simplify right side
    1,182.74x = 1,222,498.18
  5. Step 5: Solve for x
    x = 1,222,498.18/1,182.74
  6. Step 6: Final answer
    x = 1,033.62

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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.