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Finding the Fourth Proportional to 645.93, 967.77 and 462.42

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Solution

The fourth proportional to 645.93, 967.77 and 462.42 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.93 : 967.77 = 462.42 : x
  2. Step 2: Convert to fraction form
    645.93/967.77 = 462.42/x
  3. Step 3: Cross multiply
    645.93x = 967.77 × 462.42
  4. Step 4: Simplify right side
    645.93x = 447,516.20
  5. Step 5: Solve for x
    x = 447,516.20/645.93
  6. Step 6: Final answer
    x = 692.82

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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.