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Finding the Fourth Proportional to 752.59, 1,036.78 and 715.53

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Solution

The fourth proportional to 752.59, 1,036.78 and 715.53 is: 985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.59 : 1,036.78 = 715.53 : x
  2. Step 2: Convert to fraction form
    752.59/1,036.78 = 715.53/x
  3. Step 3: Cross multiply
    752.59x = 1,036.78 × 715.53
  4. Step 4: Simplify right side
    752.59x = 741,847.19
  5. Step 5: Solve for x
    x = 741,847.19/752.59
  6. Step 6: Final answer
    x = 985.73

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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.