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Finding the Fourth Proportional to 1,292.25, 1,783.29 and 702.78

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Solution

The fourth proportional to 1,292.25, 1,783.29 and 702.78 is: 969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.25 : 1,783.29 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,292.25/1,783.29 = 702.78/x
  3. Step 3: Cross multiply
    1,292.25x = 1,783.29 × 702.78
  4. Step 4: Simplify right side
    1,292.25x = 1,253,251.63
  5. Step 5: Solve for x
    x = 1,253,251.63/1,292.25
  6. Step 6: Final answer
    x = 969.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.