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Finding the Fourth Proportional to 1,463.72, 2,019.90 and 800.55

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Solution

The fourth proportional to 1,463.72, 2,019.90 and 800.55 is: 1,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.72 : 2,019.90 = 800.55 : x
  2. Step 2: Convert to fraction form
    1,463.72/2,019.90 = 800.55/x
  3. Step 3: Cross multiply
    1,463.72x = 2,019.90 × 800.55
  4. Step 4: Simplify right side
    1,463.72x = 1,617,033.95
  5. Step 5: Solve for x
    x = 1,617,033.95/1,463.72
  6. Step 6: Final answer
    x = 1,104.74

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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.