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Finding the Fourth Proportional to 830.41, 1,244.19 and 586.42

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Solution

The fourth proportional to 830.41, 1,244.19 and 586.42 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.41 : 1,244.19 = 586.42 : x
  2. Step 2: Convert to fraction form
    830.41/1,244.19 = 586.42/x
  3. Step 3: Cross multiply
    830.41x = 1,244.19 × 586.42
  4. Step 4: Simplify right side
    830.41x = 729,617.90
  5. Step 5: Solve for x
    x = 729,617.90/830.41
  6. Step 6: Final answer
    x = 878.62

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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.