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Finding the Fourth Proportional to 830.18, 1,243.92 and 540.92

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Solution

The fourth proportional to 830.18, 1,243.92 and 540.92 is: 810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.18 : 1,243.92 = 540.92 : x
  2. Step 2: Convert to fraction form
    830.18/1,243.92 = 540.92/x
  3. Step 3: Cross multiply
    830.18x = 1,243.92 × 540.92
  4. Step 4: Simplify right side
    830.18x = 672,861.21
  5. Step 5: Solve for x
    x = 672,861.21/830.18
  6. Step 6: Final answer
    x = 810.50

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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.