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Finding the Fourth Proportional to 801, 1,105.40 and 446.93

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Solution

The fourth proportional to 801, 1,105.40 and 446.93 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    801 : 1,105.40 = 446.93 : x
  2. Step 2: Convert to fraction form
    801/1,105.40 = 446.93/x
  3. Step 3: Cross multiply
    801x = 1,105.40 × 446.93
  4. Step 4: Simplify right side
    801x = 494,036.42
  5. Step 5: Solve for x
    x = 494,036.42/801
  6. Step 6: Final answer
    x = 616.77

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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.