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Finding the Fourth Proportional to 922.29, 1,273.37 and 702.37

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Solution

The fourth proportional to 922.29, 1,273.37 and 702.37 is: 969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.29 : 1,273.37 = 702.37 : x
  2. Step 2: Convert to fraction form
    922.29/1,273.37 = 702.37/x
  3. Step 3: Cross multiply
    922.29x = 1,273.37 × 702.37
  4. Step 4: Simplify right side
    922.29x = 894,378.92
  5. Step 5: Solve for x
    x = 894,378.92/922.29
  6. Step 6: Final answer
    x = 969.74

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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.