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Finding the Fourth Proportional to 845.43, 1,268.75 and 498.54

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Solution

The fourth proportional to 845.43, 1,268.75 and 498.54 is: 748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,268.75 = 498.54 : x
  2. Step 2: Convert to fraction form
    845.43/1,268.75 = 498.54/x
  3. Step 3: Cross multiply
    845.43x = 1,268.75 × 498.54
  4. Step 4: Simplify right side
    845.43x = 632,522.63
  5. Step 5: Solve for x
    x = 632,522.63/845.43
  6. Step 6: Final answer
    x = 748.17

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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.