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Finding the Fourth Proportional to 801.46, 1,105.76 and 469.65

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Solution

The fourth proportional to 801.46, 1,105.76 and 469.65 is: 647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.46 : 1,105.76 = 469.65 : x
  2. Step 2: Convert to fraction form
    801.46/1,105.76 = 469.65/x
  3. Step 3: Cross multiply
    801.46x = 1,105.76 × 469.65
  4. Step 4: Simplify right side
    801.46x = 519,322.24
  5. Step 5: Solve for x
    x = 519,322.24/801.46
  6. Step 6: Final answer
    x = 647.97

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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.