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Finding the Fourth Proportional to 798.14, 1,101.31 and 448.76

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Solution

The fourth proportional to 798.14, 1,101.31 and 448.76 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,101.31 = 448.76 : x
  2. Step 2: Convert to fraction form
    798.14/1,101.31 = 448.76/x
  3. Step 3: Cross multiply
    798.14x = 1,101.31 × 448.76
  4. Step 4: Simplify right side
    798.14x = 494,217.25
  5. Step 5: Solve for x
    x = 494,217.25/798.14
  6. Step 6: Final answer
    x = 619.22

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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.