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Finding the Fourth Proportional to 692.46, 956.52 and 563.04

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Solution

The fourth proportional to 692.46, 956.52 and 563.04 is: 777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 956.52 = 563.04 : x
  2. Step 2: Convert to fraction form
    692.46/956.52 = 563.04/x
  3. Step 3: Cross multiply
    692.46x = 956.52 × 563.04
  4. Step 4: Simplify right side
    692.46x = 538,559.02
  5. Step 5: Solve for x
    x = 538,559.02/692.46
  6. Step 6: Final answer
    x = 777.75

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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.