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Finding the Fourth Proportional to 830.78, 1,246.17 and 723.86

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Solution

The fourth proportional to 830.78, 1,246.17 and 723.86 is: 1,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.78 : 1,246.17 = 723.86 : x
  2. Step 2: Convert to fraction form
    830.78/1,246.17 = 723.86/x
  3. Step 3: Cross multiply
    830.78x = 1,246.17 × 723.86
  4. Step 4: Simplify right side
    830.78x = 902,052.62
  5. Step 5: Solve for x
    x = 902,052.62/830.78
  6. Step 6: Final answer
    x = 1,085.79

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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.