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Finding the Fourth Proportional to 1,242.81, 1,864.76 and 512.87

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Solution

The fourth proportional to 1,242.81, 1,864.76 and 512.87 is: 769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.81 : 1,864.76 = 512.87 : x
  2. Step 2: Convert to fraction form
    1,242.81/1,864.76 = 512.87/x
  3. Step 3: Cross multiply
    1,242.81x = 1,864.76 × 512.87
  4. Step 4: Simplify right side
    1,242.81x = 956,367.57
  5. Step 5: Solve for x
    x = 956,367.57/1,242.81
  6. Step 6: Final answer
    x = 769.52

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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.