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Finding the Fourth Proportional to 844.19, 1,265.92 and 498.21

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Solution

The fourth proportional to 844.19, 1,265.92 and 498.21 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,265.92 = 498.21 : x
  2. Step 2: Convert to fraction form
    844.19/1,265.92 = 498.21/x
  3. Step 3: Cross multiply
    844.19x = 1,265.92 × 498.21
  4. Step 4: Simplify right side
    844.19x = 630,694.00
  5. Step 5: Solve for x
    x = 630,694.00/844.19
  6. Step 6: Final answer
    x = 747.10

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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.