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Finding the Fourth Proportional to 699.76, 1,047.94 and 494.06

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Solution

The fourth proportional to 699.76, 1,047.94 and 494.06 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 1,047.94 = 494.06 : x
  2. Step 2: Convert to fraction form
    699.76/1,047.94 = 494.06/x
  3. Step 3: Cross multiply
    699.76x = 1,047.94 × 494.06
  4. Step 4: Simplify right side
    699.76x = 517,745.24
  5. Step 5: Solve for x
    x = 517,745.24/699.76
  6. Step 6: Final answer
    x = 739.89

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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.