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Finding the Fourth Proportional to 1,243.61, 1,865.64 and 512.79

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Solution

The fourth proportional to 1,243.61, 1,865.64 and 512.79 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.61 : 1,865.64 = 512.79 : x
  2. Step 2: Convert to fraction form
    1,243.61/1,865.64 = 512.79/x
  3. Step 3: Cross multiply
    1,243.61x = 1,865.64 × 512.79
  4. Step 4: Simplify right side
    1,243.61x = 956,681.54
  5. Step 5: Solve for x
    x = 956,681.54/1,243.61
  6. Step 6: Final answer
    x = 769.28

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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.