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Finding the Fourth Proportional to 838.95, 1,258.78 and 448.85

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Solution

The fourth proportional to 838.95, 1,258.78 and 448.85 is: 673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.95 : 1,258.78 = 448.85 : x
  2. Step 2: Convert to fraction form
    838.95/1,258.78 = 448.85/x
  3. Step 3: Cross multiply
    838.95x = 1,258.78 × 448.85
  4. Step 4: Simplify right side
    838.95x = 565,003.40
  5. Step 5: Solve for x
    x = 565,003.40/838.95
  6. Step 6: Final answer
    x = 673.46

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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.