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Finding the Fourth Proportional to 1,247.56, 1,871.58 and 478

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Solution

The fourth proportional to 1,247.56, 1,871.58 and 478 is: 717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.56 : 1,871.58 = 478 : x
  2. Step 2: Convert to fraction form
    1,247.56/1,871.58 = 478/x
  3. Step 3: Cross multiply
    1,247.56x = 1,871.58 × 478
  4. Step 4: Simplify right side
    1,247.56x = 894,615.24
  5. Step 5: Solve for x
    x = 894,615.24/1,247.56
  6. Step 6: Final answer
    x = 717.09

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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.