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Finding the Fourth Proportional to 724.99, 1,087.56 and 314.01

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Solution

The fourth proportional to 724.99, 1,087.56 and 314.01 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.99 : 1,087.56 = 314.01 : x
  2. Step 2: Convert to fraction form
    724.99/1,087.56 = 314.01/x
  3. Step 3: Cross multiply
    724.99x = 1,087.56 × 314.01
  4. Step 4: Simplify right side
    724.99x = 341,504.72
  5. Step 5: Solve for x
    x = 341,504.72/724.99
  6. Step 6: Final answer
    x = 471.05

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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.