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Finding the Fourth Proportional to 813.40, 1,217.61 and 447.07

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Solution

The fourth proportional to 813.40, 1,217.61 and 447.07 is: 669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.40 : 1,217.61 = 447.07 : x
  2. Step 2: Convert to fraction form
    813.40/1,217.61 = 447.07/x
  3. Step 3: Cross multiply
    813.40x = 1,217.61 × 447.07
  4. Step 4: Simplify right side
    813.40x = 544,356.90
  5. Step 5: Solve for x
    x = 544,356.90/813.40
  6. Step 6: Final answer
    x = 669.24

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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.