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Finding the Fourth Proportional to 864.82, 1,294.63 and 790.86

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Solution

The fourth proportional to 864.82, 1,294.63 and 790.86 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.82 : 1,294.63 = 790.86 : x
  2. Step 2: Convert to fraction form
    864.82/1,294.63 = 790.86/x
  3. Step 3: Cross multiply
    864.82x = 1,294.63 × 790.86
  4. Step 4: Simplify right side
    864.82x = 1,023,871.08
  5. Step 5: Solve for x
    x = 1,023,871.08/864.82
  6. Step 6: Final answer
    x = 1,183.91

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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.