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Finding the Fourth Proportional to 849.87, 1,275.20 and 541.65

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Solution

The fourth proportional to 849.87, 1,275.20 and 541.65 is: 812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.87 : 1,275.20 = 541.65 : x
  2. Step 2: Convert to fraction form
    849.87/1,275.20 = 541.65/x
  3. Step 3: Cross multiply
    849.87x = 1,275.20 × 541.65
  4. Step 4: Simplify right side
    849.87x = 690,709.37
  5. Step 5: Solve for x
    x = 690,709.37/849.87
  6. Step 6: Final answer
    x = 812.72

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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.