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Finding the Fourth Proportional to 732.45, 1,010.81 and 417.75

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Solution

The fourth proportional to 732.45, 1,010.81 and 417.75 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.45 : 1,010.81 = 417.75 : x
  2. Step 2: Convert to fraction form
    732.45/1,010.81 = 417.75/x
  3. Step 3: Cross multiply
    732.45x = 1,010.81 × 417.75
  4. Step 4: Simplify right side
    732.45x = 422,263.79
  5. Step 5: Solve for x
    x = 422,263.79/732.45
  6. Step 6: Final answer
    x = 576.51

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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.