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Finding the Fourth Proportional to 692.52, 956.52 and 547.08

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Solution

The fourth proportional to 692.52, 956.52 and 547.08 is: 755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.52 : 956.52 = 547.08 : x
  2. Step 2: Convert to fraction form
    692.52/956.52 = 547.08/x
  3. Step 3: Cross multiply
    692.52x = 956.52 × 547.08
  4. Step 4: Simplify right side
    692.52x = 523,292.96
  5. Step 5: Solve for x
    x = 523,292.96/692.52
  6. Step 6: Final answer
    x = 755.64

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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.