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Finding the Fourth Proportional to 840.48, 1,261.20 and 552.48

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Solution

The fourth proportional to 840.48, 1,261.20 and 552.48 is: 829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.48 : 1,261.20 = 552.48 : x
  2. Step 2: Convert to fraction form
    840.48/1,261.20 = 552.48/x
  3. Step 3: Cross multiply
    840.48x = 1,261.20 × 552.48
  4. Step 4: Simplify right side
    840.48x = 696,787.78
  5. Step 5: Solve for x
    x = 696,787.78/840.48
  6. Step 6: Final answer
    x = 829.04

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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.