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Finding the Fourth Proportional to 692.38, 955.85 and 534.67

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Solution

The fourth proportional to 692.38, 955.85 and 534.67 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.38 : 955.85 = 534.67 : x
  2. Step 2: Convert to fraction form
    692.38/955.85 = 534.67/x
  3. Step 3: Cross multiply
    692.38x = 955.85 × 534.67
  4. Step 4: Simplify right side
    692.38x = 511,064.32
  5. Step 5: Solve for x
    x = 511,064.32/692.38
  6. Step 6: Final answer
    x = 738.13

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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.