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Finding the Fourth Proportional to 1,190.53, 1,642.93 and 724.78

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Solution

The fourth proportional to 1,190.53, 1,642.93 and 724.78 is: 1,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.53 : 1,642.93 = 724.78 : x
  2. Step 2: Convert to fraction form
    1,190.53/1,642.93 = 724.78/x
  3. Step 3: Cross multiply
    1,190.53x = 1,642.93 × 724.78
  4. Step 4: Simplify right side
    1,190.53x = 1,190,767.12
  5. Step 5: Solve for x
    x = 1,190,767.12/1,190.53
  6. Step 6: Final answer
    x = 1,000.20

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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.