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Finding the Fourth Proportional to 1,629.52, 2,443.77 and 533.65

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Solution

The fourth proportional to 1,629.52, 2,443.77 and 533.65 is: 800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.52 : 2,443.77 = 533.65 : x
  2. Step 2: Convert to fraction form
    1,629.52/2,443.77 = 533.65/x
  3. Step 3: Cross multiply
    1,629.52x = 2,443.77 × 533.65
  4. Step 4: Simplify right side
    1,629.52x = 1,304,117.86
  5. Step 5: Solve for x
    x = 1,304,117.86/1,629.52
  6. Step 6: Final answer
    x = 800.31

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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.