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Finding the Fourth Proportional to 1,292.67, 1,934.19 and 772.97

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Solution

The fourth proportional to 1,292.67, 1,934.19 and 772.97 is: 1,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.67 : 1,934.19 = 772.97 : x
  2. Step 2: Convert to fraction form
    1,292.67/1,934.19 = 772.97/x
  3. Step 3: Cross multiply
    1,292.67x = 1,934.19 × 772.97
  4. Step 4: Simplify right side
    1,292.67x = 1,495,061.17
  5. Step 5: Solve for x
    x = 1,495,061.17/1,292.67
  6. Step 6: Final answer
    x = 1,156.57

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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.