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Finding the Fourth Proportional to 749.70, 1,034.91 and 488.16

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Solution

The fourth proportional to 749.70, 1,034.91 and 488.16 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.70 : 1,034.91 = 488.16 : x
  2. Step 2: Convert to fraction form
    749.70/1,034.91 = 488.16/x
  3. Step 3: Cross multiply
    749.70x = 1,034.91 × 488.16
  4. Step 4: Simplify right side
    749.70x = 505,201.67
  5. Step 5: Solve for x
    x = 505,201.67/749.70
  6. Step 6: Final answer
    x = 673.87

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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.