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Finding the Fourth Proportional to 651.39, 976.17 and 467.92

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Solution

The fourth proportional to 651.39, 976.17 and 467.92 is: 701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.39 : 976.17 = 467.92 : x
  2. Step 2: Convert to fraction form
    651.39/976.17 = 467.92/x
  3. Step 3: Cross multiply
    651.39x = 976.17 × 467.92
  4. Step 4: Simplify right side
    651.39x = 456,768.30
  5. Step 5: Solve for x
    x = 456,768.30/651.39
  6. Step 6: Final answer
    x = 701.23

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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.