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Finding the Fourth Proportional to 748.68, 1,123.28 and 456.77

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Solution

The fourth proportional to 748.68, 1,123.28 and 456.77 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.68 : 1,123.28 = 456.77 : x
  2. Step 2: Convert to fraction form
    748.68/1,123.28 = 456.77/x
  3. Step 3: Cross multiply
    748.68x = 1,123.28 × 456.77
  4. Step 4: Simplify right side
    748.68x = 513,072.71
  5. Step 5: Solve for x
    x = 513,072.71/748.68
  6. Step 6: Final answer
    x = 685.30

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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.