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Finding the Fourth Proportional to 749.68, 1,034.85 and 488.14

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Solution

The fourth proportional to 749.68, 1,034.85 and 488.14 is: 673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.68 : 1,034.85 = 488.14 : x
  2. Step 2: Convert to fraction form
    749.68/1,034.85 = 488.14/x
  3. Step 3: Cross multiply
    749.68x = 1,034.85 × 488.14
  4. Step 4: Simplify right side
    749.68x = 505,151.68
  5. Step 5: Solve for x
    x = 505,151.68/749.68
  6. Step 6: Final answer
    x = 673.82

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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.