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Finding the Fourth Proportional to 742.76, 1,025.14 and 448.18

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Solution

The fourth proportional to 742.76, 1,025.14 and 448.18 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,025.14 = 448.18 : x
  2. Step 2: Convert to fraction form
    742.76/1,025.14 = 448.18/x
  3. Step 3: Cross multiply
    742.76x = 1,025.14 × 448.18
  4. Step 4: Simplify right side
    742.76x = 459,447.25
  5. Step 5: Solve for x
    x = 459,447.25/742.76
  6. Step 6: Final answer
    x = 618.57

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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.