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Finding the Fourth Proportional to 826.41, 1,140.44 and 448.30

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Solution

The fourth proportional to 826.41, 1,140.44 and 448.30 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.41 : 1,140.44 = 448.30 : x
  2. Step 2: Convert to fraction form
    826.41/1,140.44 = 448.30/x
  3. Step 3: Cross multiply
    826.41x = 1,140.44 × 448.30
  4. Step 4: Simplify right side
    826.41x = 511,259.25
  5. Step 5: Solve for x
    x = 511,259.25/826.41
  6. Step 6: Final answer
    x = 618.65

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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.