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Finding the Fourth Proportional to 1,255.20, 1,883.15 and 524.78

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Solution

The fourth proportional to 1,255.20, 1,883.15 and 524.78 is: 787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.20 : 1,883.15 = 524.78 : x
  2. Step 2: Convert to fraction form
    1,255.20/1,883.15 = 524.78/x
  3. Step 3: Cross multiply
    1,255.20x = 1,883.15 × 524.78
  4. Step 4: Simplify right side
    1,255.20x = 988,236.45
  5. Step 5: Solve for x
    x = 988,236.45/1,255.20
  6. Step 6: Final answer
    x = 787.32

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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.