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Finding the Fourth Proportional to 702, 969.48 and 697.20

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Solution

The fourth proportional to 702, 969.48 and 697.20 is: 962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702 : 969.48 = 697.20 : x
  2. Step 2: Convert to fraction form
    702/969.48 = 697.20/x
  3. Step 3: Cross multiply
    702x = 969.48 × 697.20
  4. Step 4: Simplify right side
    702x = 675,921.46
  5. Step 5: Solve for x
    x = 675,921.46/702
  6. Step 6: Final answer
    x = 962.85

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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.