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Finding the Fourth Proportional to 834.78, 1,152.40 and 540.56

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Solution

The fourth proportional to 834.78, 1,152.40 and 540.56 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,152.40 = 540.56 : x
  2. Step 2: Convert to fraction form
    834.78/1,152.40 = 540.56/x
  3. Step 3: Cross multiply
    834.78x = 1,152.40 × 540.56
  4. Step 4: Simplify right side
    834.78x = 622,941.34
  5. Step 5: Solve for x
    x = 622,941.34/834.78
  6. Step 6: Final answer
    x = 746.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.