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Finding the Fourth Proportional to 1,247.90, 1,871.31 and 382.01

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Solution

The fourth proportional to 1,247.90, 1,871.31 and 382.01 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.90 : 1,871.31 = 382.01 : x
  2. Step 2: Convert to fraction form
    1,247.90/1,871.31 = 382.01/x
  3. Step 3: Cross multiply
    1,247.90x = 1,871.31 × 382.01
  4. Step 4: Simplify right side
    1,247.90x = 714,859.13
  5. Step 5: Solve for x
    x = 714,859.13/1,247.90
  6. Step 6: Final answer
    x = 572.85

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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.