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Finding the Fourth Proportional to 1,225.90, 1,839.56 and 532.54

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Solution

The fourth proportional to 1,225.90, 1,839.56 and 532.54 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.90 : 1,839.56 = 532.54 : x
  2. Step 2: Convert to fraction form
    1,225.90/1,839.56 = 532.54/x
  3. Step 3: Cross multiply
    1,225.90x = 1,839.56 × 532.54
  4. Step 4: Simplify right side
    1,225.90x = 979,639.28
  5. Step 5: Solve for x
    x = 979,639.28/1,225.90
  6. Step 6: Final answer
    x = 799.12

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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.