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Finding the Fourth Proportional to 1,257.12, 1,885.44 and 487.52

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Solution

The fourth proportional to 1,257.12, 1,885.44 and 487.52 is: 731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.12 : 1,885.44 = 487.52 : x
  2. Step 2: Convert to fraction form
    1,257.12/1,885.44 = 487.52/x
  3. Step 3: Cross multiply
    1,257.12x = 1,885.44 × 487.52
  4. Step 4: Simplify right side
    1,257.12x = 919,189.71
  5. Step 5: Solve for x
    x = 919,189.71/1,257.12
  6. Step 6: Final answer
    x = 731.19

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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.