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Finding the Fourth Proportional to 1,693.25, 2,539.87 and 718.61

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Solution

The fourth proportional to 1,693.25, 2,539.87 and 718.61 is: 1,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.25 : 2,539.87 = 718.61 : x
  2. Step 2: Convert to fraction form
    1,693.25/2,539.87 = 718.61/x
  3. Step 3: Cross multiply
    1,693.25x = 2,539.87 × 718.61
  4. Step 4: Simplify right side
    1,693.25x = 1,825,180.53
  5. Step 5: Solve for x
    x = 1,825,180.53/1,693.25
  6. Step 6: Final answer
    x = 1,077.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.