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Finding the Fourth Proportional to 817, 1,127.46 and 506.92

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Solution

The fourth proportional to 817, 1,127.46 and 506.92 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,127.46 = 506.92 : x
  2. Step 2: Convert to fraction form
    817/1,127.46 = 506.92/x
  3. Step 3: Cross multiply
    817x = 1,127.46 × 506.92
  4. Step 4: Simplify right side
    817x = 571,532.02
  5. Step 5: Solve for x
    x = 571,532.02/817
  6. Step 6: Final answer
    x = 699.55

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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.