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Finding the Fourth Proportional to 749.17, 1,033.83 and 417.61

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Solution

The fourth proportional to 749.17, 1,033.83 and 417.61 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.17 : 1,033.83 = 417.61 : x
  2. Step 2: Convert to fraction form
    749.17/1,033.83 = 417.61/x
  3. Step 3: Cross multiply
    749.17x = 1,033.83 × 417.61
  4. Step 4: Simplify right side
    749.17x = 431,737.75
  5. Step 5: Solve for x
    x = 431,737.75/749.17
  6. Step 6: Final answer
    x = 576.29

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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.