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Finding the Fourth Proportional to 699.28, 1,047.72 and 493.48

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Solution

The fourth proportional to 699.28, 1,047.72 and 493.48 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.28 : 1,047.72 = 493.48 : x
  2. Step 2: Convert to fraction form
    699.28/1,047.72 = 493.48/x
  3. Step 3: Cross multiply
    699.28x = 1,047.72 × 493.48
  4. Step 4: Simplify right side
    699.28x = 517,028.87
  5. Step 5: Solve for x
    x = 517,028.87/699.28
  6. Step 6: Final answer
    x = 739.37

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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.