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Finding the Fourth Proportional to 724.95, 1,087.74 and 359.53

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Solution

The fourth proportional to 724.95, 1,087.74 and 359.53 is: 539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.95 : 1,087.74 = 359.53 : x
  2. Step 2: Convert to fraction form
    724.95/1,087.74 = 359.53/x
  3. Step 3: Cross multiply
    724.95x = 1,087.74 × 359.53
  4. Step 4: Simplify right side
    724.95x = 391,072.44
  5. Step 5: Solve for x
    x = 391,072.44/724.95
  6. Step 6: Final answer
    x = 539.45

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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.