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Finding the Fourth Proportional to 810.43, 1,217.02 and 445.93

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Solution

The fourth proportional to 810.43, 1,217.02 and 445.93 is: 669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.43 : 1,217.02 = 445.93 : x
  2. Step 2: Convert to fraction form
    810.43/1,217.02 = 445.93/x
  3. Step 3: Cross multiply
    810.43x = 1,217.02 × 445.93
  4. Step 4: Simplify right side
    810.43x = 542,705.73
  5. Step 5: Solve for x
    x = 542,705.73/810.43
  6. Step 6: Final answer
    x = 669.65

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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.