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Finding the Fourth Proportional to 1,725.97, 2,587.12 and 685.53

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Solution

The fourth proportional to 1,725.97, 2,587.12 and 685.53 is: 1,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.97 : 2,587.12 = 685.53 : x
  2. Step 2: Convert to fraction form
    1,725.97/2,587.12 = 685.53/x
  3. Step 3: Cross multiply
    1,725.97x = 2,587.12 × 685.53
  4. Step 4: Simplify right side
    1,725.97x = 1,773,548.37
  5. Step 5: Solve for x
    x = 1,773,548.37/1,725.97
  6. Step 6: Final answer
    x = 1,027.57

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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.