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Finding the Fourth Proportional to 748.68, 1,123.43 and 316.14

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Solution

The fourth proportional to 748.68, 1,123.43 and 316.14 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.68 : 1,123.43 = 316.14 : x
  2. Step 2: Convert to fraction form
    748.68/1,123.43 = 316.14/x
  3. Step 3: Cross multiply
    748.68x = 1,123.43 × 316.14
  4. Step 4: Simplify right side
    748.68x = 355,159.58
  5. Step 5: Solve for x
    x = 355,159.58/748.68
  6. Step 6: Final answer
    x = 474.38

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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.