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Finding the Fourth Proportional to 801.42, 1,105.74 and 506.58

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Solution

The fourth proportional to 801.42, 1,105.74 and 506.58 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,105.74 = 506.58 : x
  2. Step 2: Convert to fraction form
    801.42/1,105.74 = 506.58/x
  3. Step 3: Cross multiply
    801.42x = 1,105.74 × 506.58
  4. Step 4: Simplify right side
    801.42x = 560,145.77
  5. Step 5: Solve for x
    x = 560,145.77/801.42
  6. Step 6: Final answer
    x = 698.94

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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.