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Finding the Fourth Proportional to 898.28, 1,240.40 and 618.44

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Solution

The fourth proportional to 898.28, 1,240.40 and 618.44 is: 853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,240.40 = 618.44 : x
  2. Step 2: Convert to fraction form
    898.28/1,240.40 = 618.44/x
  3. Step 3: Cross multiply
    898.28x = 1,240.40 × 618.44
  4. Step 4: Simplify right side
    898.28x = 767,112.98
  5. Step 5: Solve for x
    x = 767,112.98/898.28
  6. Step 6: Final answer
    x = 853.98

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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.