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Finding the Fourth Proportional to 1,250.31, 1,725.27 and 752.82

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Solution

The fourth proportional to 1,250.31, 1,725.27 and 752.82 is: 1,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.31 : 1,725.27 = 752.82 : x
  2. Step 2: Convert to fraction form
    1,250.31/1,725.27 = 752.82/x
  3. Step 3: Cross multiply
    1,250.31x = 1,725.27 × 752.82
  4. Step 4: Simplify right side
    1,250.31x = 1,298,817.76
  5. Step 5: Solve for x
    x = 1,298,817.76/1,250.31
  6. Step 6: Final answer
    x = 1,038.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.