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Finding the Fourth Proportional to 748.65, 1,122.98 and 261.71

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Solution

The fourth proportional to 748.65, 1,122.98 and 261.71 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,122.98 = 261.71 : x
  2. Step 2: Convert to fraction form
    748.65/1,122.98 = 261.71/x
  3. Step 3: Cross multiply
    748.65x = 1,122.98 × 261.71
  4. Step 4: Simplify right side
    748.65x = 293,888.17
  5. Step 5: Solve for x
    x = 293,888.17/748.65
  6. Step 6: Final answer
    x = 392.56

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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.