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Finding the Fourth Proportional to 1,210.72, 1,812.99 and 798.61

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Solution

The fourth proportional to 1,210.72, 1,812.99 and 798.61 is: 1,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.72 : 1,812.99 = 798.61 : x
  2. Step 2: Convert to fraction form
    1,210.72/1,812.99 = 798.61/x
  3. Step 3: Cross multiply
    1,210.72x = 1,812.99 × 798.61
  4. Step 4: Simplify right side
    1,210.72x = 1,447,871.94
  5. Step 5: Solve for x
    x = 1,447,871.94/1,210.72
  6. Step 6: Final answer
    x = 1,195.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.