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Finding the Fourth Proportional to 732.80, 1,011.14 and 417.94

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Solution

The fourth proportional to 732.80, 1,011.14 and 417.94 is: 576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.80 : 1,011.14 = 417.94 : x
  2. Step 2: Convert to fraction form
    732.80/1,011.14 = 417.94/x
  3. Step 3: Cross multiply
    732.80x = 1,011.14 × 417.94
  4. Step 4: Simplify right side
    732.80x = 422,595.85
  5. Step 5: Solve for x
    x = 422,595.85/732.80
  6. Step 6: Final answer
    x = 576.69

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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.