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Finding the Fourth Proportional to 651.42, 974.96 and 462.84

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Solution

The fourth proportional to 651.42, 974.96 and 462.84 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 974.96 = 462.84 : x
  2. Step 2: Convert to fraction form
    651.42/974.96 = 462.84/x
  3. Step 3: Cross multiply
    651.42x = 974.96 × 462.84
  4. Step 4: Simplify right side
    651.42x = 451,248.17
  5. Step 5: Solve for x
    x = 451,248.17/651.42
  6. Step 6: Final answer
    x = 692.71

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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.