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Finding the Fourth Proportional to 1,486.51, 2,230.17 and 512.62

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Solution

The fourth proportional to 1,486.51, 2,230.17 and 512.62 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.51 : 2,230.17 = 512.62 : x
  2. Step 2: Convert to fraction form
    1,486.51/2,230.17 = 512.62/x
  3. Step 3: Cross multiply
    1,486.51x = 2,230.17 × 512.62
  4. Step 4: Simplify right side
    1,486.51x = 1,143,229.75
  5. Step 5: Solve for x
    x = 1,143,229.75/1,486.51
  6. Step 6: Final answer
    x = 769.07

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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.