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Finding the Fourth Proportional to 817.80, 1,225.14 and 508.20

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Solution

The fourth proportional to 817.80, 1,225.14 and 508.20 is: 761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.80 : 1,225.14 = 508.20 : x
  2. Step 2: Convert to fraction form
    817.80/1,225.14 = 508.20/x
  3. Step 3: Cross multiply
    817.80x = 1,225.14 × 508.20
  4. Step 4: Simplify right side
    817.80x = 622,616.15
  5. Step 5: Solve for x
    x = 622,616.15/817.80
  6. Step 6: Final answer
    x = 761.33

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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.