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Finding the Fourth Proportional to 814.35, 1,219.70 and 489.05

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Solution

The fourth proportional to 814.35, 1,219.70 and 489.05 is: 732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.35 : 1,219.70 = 489.05 : x
  2. Step 2: Convert to fraction form
    814.35/1,219.70 = 489.05/x
  3. Step 3: Cross multiply
    814.35x = 1,219.70 × 489.05
  4. Step 4: Simplify right side
    814.35x = 596,485.74
  5. Step 5: Solve for x
    x = 596,485.74/814.35
  6. Step 6: Final answer
    x = 732.47

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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.