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Finding the Fourth Proportional to 1,226.87, 1,693.17 and 702.89

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Solution

The fourth proportional to 1,226.87, 1,693.17 and 702.89 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.87 : 1,693.17 = 702.89 : x
  2. Step 2: Convert to fraction form
    1,226.87/1,693.17 = 702.89/x
  3. Step 3: Cross multiply
    1,226.87x = 1,693.17 × 702.89
  4. Step 4: Simplify right side
    1,226.87x = 1,190,112.26
  5. Step 5: Solve for x
    x = 1,190,112.26/1,226.87
  6. Step 6: Final answer
    x = 970.04

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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.