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Finding the Fourth Proportional to 1,463.81, 2,020.05 and 800.65

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Solution

The fourth proportional to 1,463.81, 2,020.05 and 800.65 is: 1,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.81 : 2,020.05 = 800.65 : x
  2. Step 2: Convert to fraction form
    1,463.81/2,020.05 = 800.65/x
  3. Step 3: Cross multiply
    1,463.81x = 2,020.05 × 800.65
  4. Step 4: Simplify right side
    1,463.81x = 1,617,353.31
  5. Step 5: Solve for x
    x = 1,617,353.31/1,463.81
  6. Step 6: Final answer
    x = 1,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.