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Finding the Fourth Proportional to 1,463.62, 2,019.82 and 800.50

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Solution

The fourth proportional to 1,463.62, 2,019.82 and 800.50 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.62 : 2,019.82 = 800.50 : x
  2. Step 2: Convert to fraction form
    1,463.62/2,019.82 = 800.50/x
  3. Step 3: Cross multiply
    1,463.62x = 2,019.82 × 800.50
  4. Step 4: Simplify right side
    1,463.62x = 1,616,859.00
  5. Step 5: Solve for x
    x = 1,616,859.00/1,463.62
  6. Step 6: Final answer
    x = 1,104.70

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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.