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Finding the Fourth Proportional to 1,292.93, 1,938.27 and 513.47

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Solution

The fourth proportional to 1,292.93, 1,938.27 and 513.47 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.93 : 1,938.27 = 513.47 : x
  2. Step 2: Convert to fraction form
    1,292.93/1,938.27 = 513.47/x
  3. Step 3: Cross multiply
    1,292.93x = 1,938.27 × 513.47
  4. Step 4: Simplify right side
    1,292.93x = 995,233.81
  5. Step 5: Solve for x
    x = 995,233.81/1,292.93
  6. Step 6: Final answer
    x = 769.75

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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.