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Finding the Fourth Proportional to 717.57, 1,069.47 and 692.64

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Solution

The fourth proportional to 717.57, 1,069.47 and 692.64 is: 1,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.57 : 1,069.47 = 692.64 : x
  2. Step 2: Convert to fraction form
    717.57/1,069.47 = 692.64/x
  3. Step 3: Cross multiply
    717.57x = 1,069.47 × 692.64
  4. Step 4: Simplify right side
    717.57x = 740,757.70
  5. Step 5: Solve for x
    x = 740,757.70/717.57
  6. Step 6: Final answer
    x = 1,032.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.