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Finding the Fourth Proportional to 749.29, 1,033.89 and 417.70

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Solution

The fourth proportional to 749.29, 1,033.89 and 417.70 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.29 : 1,033.89 = 417.70 : x
  2. Step 2: Convert to fraction form
    749.29/1,033.89 = 417.70/x
  3. Step 3: Cross multiply
    749.29x = 1,033.89 × 417.70
  4. Step 4: Simplify right side
    749.29x = 431,855.85
  5. Step 5: Solve for x
    x = 431,855.85/749.29
  6. Step 6: Final answer
    x = 576.35

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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.