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Finding the Fourth Proportional to 817.57, 1,125.87 and 699.11

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Solution

The fourth proportional to 817.57, 1,125.87 and 699.11 is: 962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.57 : 1,125.87 = 699.11 : x
  2. Step 2: Convert to fraction form
    817.57/1,125.87 = 699.11/x
  3. Step 3: Cross multiply
    817.57x = 1,125.87 × 699.11
  4. Step 4: Simplify right side
    817.57x = 787,106.98
  5. Step 5: Solve for x
    x = 787,106.98/817.57
  6. Step 6: Final answer
    x = 962.74

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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.