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Finding the Fourth Proportional to 692.24, 954.78 and 515.80

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Solution

The fourth proportional to 692.24, 954.78 and 515.80 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 954.78 = 515.80 : x
  2. Step 2: Convert to fraction form
    692.24/954.78 = 515.80/x
  3. Step 3: Cross multiply
    692.24x = 954.78 × 515.80
  4. Step 4: Simplify right side
    692.24x = 492,470.75
  5. Step 5: Solve for x
    x = 492,470.75/692.24
  6. Step 6: Final answer
    x = 711.42

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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.