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Finding the Fourth Proportional to 749.14, 1,033.80 and 417.57

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Solution

The fourth proportional to 749.14, 1,033.80 and 417.57 is: 576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.14 : 1,033.80 = 417.57 : x
  2. Step 2: Convert to fraction form
    749.14/1,033.80 = 417.57/x
  3. Step 3: Cross multiply
    749.14x = 1,033.80 × 417.57
  4. Step 4: Simplify right side
    749.14x = 431,683.87
  5. Step 5: Solve for x
    x = 431,683.87/749.14
  6. Step 6: Final answer
    x = 576.24

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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.