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Finding the Fourth Proportional to 1,096.23, 1,512.79 and 703.25

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Solution

The fourth proportional to 1,096.23, 1,512.79 and 703.25 is: 970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.23 : 1,512.79 = 703.25 : x
  2. Step 2: Convert to fraction form
    1,096.23/1,512.79 = 703.25/x
  3. Step 3: Cross multiply
    1,096.23x = 1,512.79 × 703.25
  4. Step 4: Simplify right side
    1,096.23x = 1,063,869.57
  5. Step 5: Solve for x
    x = 1,063,869.57/1,096.23
  6. Step 6: Final answer
    x = 970.48

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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.