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Finding the Fourth Proportional to 749.07, 1,033.67 and 417.52

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Solution

The fourth proportional to 749.07, 1,033.67 and 417.52 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.07 : 1,033.67 = 417.52 : x
  2. Step 2: Convert to fraction form
    749.07/1,033.67 = 417.52/x
  3. Step 3: Cross multiply
    749.07x = 1,033.67 × 417.52
  4. Step 4: Simplify right side
    749.07x = 431,577.90
  5. Step 5: Solve for x
    x = 431,577.90/749.07
  6. Step 6: Final answer
    x = 576.15

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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.