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Finding the Fourth Proportional to 1,729.40, 2,593.32 and 496.53

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Solution

The fourth proportional to 1,729.40, 2,593.32 and 496.53 is: 744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.40 : 2,593.32 = 496.53 : x
  2. Step 2: Convert to fraction form
    1,729.40/2,593.32 = 496.53/x
  3. Step 3: Cross multiply
    1,729.40x = 2,593.32 × 496.53
  4. Step 4: Simplify right side
    1,729.40x = 1,287,661.18
  5. Step 5: Solve for x
    x = 1,287,661.18/1,729.40
  6. Step 6: Final answer
    x = 744.57

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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.