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Finding the Fourth Proportional to 817.12, 1,127.84 and 506.88

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Solution

The fourth proportional to 817.12, 1,127.84 and 506.88 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,127.84 = 506.88 : x
  2. Step 2: Convert to fraction form
    817.12/1,127.84 = 506.88/x
  3. Step 3: Cross multiply
    817.12x = 1,127.84 × 506.88
  4. Step 4: Simplify right side
    817.12x = 571,679.54
  5. Step 5: Solve for x
    x = 571,679.54/817.12
  6. Step 6: Final answer
    x = 699.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.