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Finding the Fourth Proportional to 1,247.64, 1,871.44 and 478.14

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Solution

The fourth proportional to 1,247.64, 1,871.44 and 478.14 is: 717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.64 : 1,871.44 = 478.14 : x
  2. Step 2: Convert to fraction form
    1,247.64/1,871.44 = 478.14/x
  3. Step 3: Cross multiply
    1,247.64x = 1,871.44 × 478.14
  4. Step 4: Simplify right side
    1,247.64x = 894,806.84
  5. Step 5: Solve for x
    x = 894,806.84/1,247.64
  6. Step 6: Final answer
    x = 717.20

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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.