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Finding the Fourth Proportional to 699.28, 1,047.77 and 493.49

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Solution

The fourth proportional to 699.28, 1,047.77 and 493.49 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.28 : 1,047.77 = 493.49 : x
  2. Step 2: Convert to fraction form
    699.28/1,047.77 = 493.49/x
  3. Step 3: Cross multiply
    699.28x = 1,047.77 × 493.49
  4. Step 4: Simplify right side
    699.28x = 517,064.02
  5. Step 5: Solve for x
    x = 517,064.02/699.28
  6. Step 6: Final answer
    x = 739.42

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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.