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Finding the Fourth Proportional to 814.71, 1,219.98 and 449.10

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Solution

The fourth proportional to 814.71, 1,219.98 and 449.10 is: 672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.71 : 1,219.98 = 449.10 : x
  2. Step 2: Convert to fraction form
    814.71/1,219.98 = 449.10/x
  3. Step 3: Cross multiply
    814.71x = 1,219.98 × 449.10
  4. Step 4: Simplify right side
    814.71x = 547,893.02
  5. Step 5: Solve for x
    x = 547,893.02/814.71
  6. Step 6: Final answer
    x = 672.50

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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.