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Finding the Fourth Proportional to 864.92, 1,193.54 and 491.86

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Solution

The fourth proportional to 864.92, 1,193.54 and 491.86 is: 678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.92 : 1,193.54 = 491.86 : x
  2. Step 2: Convert to fraction form
    864.92/1,193.54 = 491.86/x
  3. Step 3: Cross multiply
    864.92x = 1,193.54 × 491.86
  4. Step 4: Simplify right side
    864.92x = 587,048.62
  5. Step 5: Solve for x
    x = 587,048.62/864.92
  6. Step 6: Final answer
    x = 678.73

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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.