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Finding the Fourth Proportional to 1,247.65, 1,871.47 and 381.96

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Solution

The fourth proportional to 1,247.65, 1,871.47 and 381.96 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.65 : 1,871.47 = 381.96 : x
  2. Step 2: Convert to fraction form
    1,247.65/1,871.47 = 381.96/x
  3. Step 3: Cross multiply
    1,247.65x = 1,871.47 × 381.96
  4. Step 4: Simplify right side
    1,247.65x = 714,826.68
  5. Step 5: Solve for x
    x = 714,826.68/1,247.65
  6. Step 6: Final answer
    x = 572.94

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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.