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Finding the Fourth Proportional to 752.49, 1,036.28 and 705.61

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Solution

The fourth proportional to 752.49, 1,036.28 and 705.61 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.49 : 1,036.28 = 705.61 : x
  2. Step 2: Convert to fraction form
    752.49/1,036.28 = 705.61/x
  3. Step 3: Cross multiply
    752.49x = 1,036.28 × 705.61
  4. Step 4: Simplify right side
    752.49x = 731,200.82
  5. Step 5: Solve for x
    x = 731,200.82/752.49
  6. Step 6: Final answer
    x = 971.71

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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.