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Finding the Fourth Proportional to 1,629.34, 2,444.38 and 533.78

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Solution

The fourth proportional to 1,629.34, 2,444.38 and 533.78 is: 800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.34 : 2,444.38 = 533.78 : x
  2. Step 2: Convert to fraction form
    1,629.34/2,444.38 = 533.78/x
  3. Step 3: Cross multiply
    1,629.34x = 2,444.38 × 533.78
  4. Step 4: Simplify right side
    1,629.34x = 1,304,761.16
  5. Step 5: Solve for x
    x = 1,304,761.16/1,629.34
  6. Step 6: Final answer
    x = 800.79

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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.