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Finding the Fourth Proportional to 752.22, 1,128.78 and 706.66

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Solution

The fourth proportional to 752.22, 1,128.78 and 706.66 is: 1,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.22 : 1,128.78 = 706.66 : x
  2. Step 2: Convert to fraction form
    752.22/1,128.78 = 706.66/x
  3. Step 3: Cross multiply
    752.22x = 1,128.78 × 706.66
  4. Step 4: Simplify right side
    752.22x = 797,663.67
  5. Step 5: Solve for x
    x = 797,663.67/752.22
  6. Step 6: Final answer
    x = 1,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.