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Finding the Fourth Proportional to 817.80, 1,225.90 and 731.40

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Solution

The fourth proportional to 817.80, 1,225.90 and 731.40 is: 1,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.80 : 1,225.90 = 731.40 : x
  2. Step 2: Convert to fraction form
    817.80/1,225.90 = 731.40/x
  3. Step 3: Cross multiply
    817.80x = 1,225.90 × 731.40
  4. Step 4: Simplify right side
    817.80x = 896,623.26
  5. Step 5: Solve for x
    x = 896,623.26/817.80
  6. Step 6: Final answer
    x = 1,096.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.