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Finding the Fourth Proportional to 692.72, 1,036.46 and 462.16

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Solution

The fourth proportional to 692.72, 1,036.46 and 462.16 is: 691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 1,036.46 = 462.16 : x
  2. Step 2: Convert to fraction form
    692.72/1,036.46 = 462.16/x
  3. Step 3: Cross multiply
    692.72x = 1,036.46 × 462.16
  4. Step 4: Simplify right side
    692.72x = 479,010.35
  5. Step 5: Solve for x
    x = 479,010.35/692.72
  6. Step 6: Final answer
    x = 691.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.