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Finding the Fourth Proportional to 741.67, 1,106.24 and 698.84

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Solution

The fourth proportional to 741.67, 1,106.24 and 698.84 is: 1,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.67 : 1,106.24 = 698.84 : x
  2. Step 2: Convert to fraction form
    741.67/1,106.24 = 698.84/x
  3. Step 3: Cross multiply
    741.67x = 1,106.24 × 698.84
  4. Step 4: Simplify right side
    741.67x = 773,087.53
  5. Step 5: Solve for x
    x = 773,087.53/741.67
  6. Step 6: Final answer
    x = 1,042.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.