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Finding the Fourth Proportional to 1,532.59, 2,297.84 and 752.76

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Solution

The fourth proportional to 1,532.59, 2,297.84 and 752.76 is: 1,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.59 : 2,297.84 = 752.76 : x
  2. Step 2: Convert to fraction form
    1,532.59/2,297.84 = 752.76/x
  3. Step 3: Cross multiply
    1,532.59x = 2,297.84 × 752.76
  4. Step 4: Simplify right side
    1,532.59x = 1,729,718.27
  5. Step 5: Solve for x
    x = 1,729,718.27/1,532.59
  6. Step 6: Final answer
    x = 1,128.63

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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.