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Finding the Fourth Proportional to 1,725.14, 2,587.99 and 685.15

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Solution

The fourth proportional to 1,725.14, 2,587.99 and 685.15 is: 1,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.14 : 2,587.99 = 685.15 : x
  2. Step 2: Convert to fraction form
    1,725.14/2,587.99 = 685.15/x
  3. Step 3: Cross multiply
    1,725.14x = 2,587.99 × 685.15
  4. Step 4: Simplify right side
    1,725.14x = 1,773,148.41
  5. Step 5: Solve for x
    x = 1,773,148.41/1,725.14
  6. Step 6: Final answer
    x = 1,027.83

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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.