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Finding the Fourth Proportional to 748.82, 1,034.08 and 707.91

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Solution

The fourth proportional to 748.82, 1,034.08 and 707.91 is: 977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.82 : 1,034.08 = 707.91 : x
  2. Step 2: Convert to fraction form
    748.82/1,034.08 = 707.91/x
  3. Step 3: Cross multiply
    748.82x = 1,034.08 × 707.91
  4. Step 4: Simplify right side
    748.82x = 732,033.80
  5. Step 5: Solve for x
    x = 732,033.80/748.82
  6. Step 6: Final answer
    x = 977.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.