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Finding the Fourth Proportional to 698.36, 1,046.67 and 611.51

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Solution

The fourth proportional to 698.36, 1,046.67 and 611.51 is: 916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.36 : 1,046.67 = 611.51 : x
  2. Step 2: Convert to fraction form
    698.36/1,046.67 = 611.51/x
  3. Step 3: Cross multiply
    698.36x = 1,046.67 × 611.51
  4. Step 4: Simplify right side
    698.36x = 640,049.17
  5. Step 5: Solve for x
    x = 640,049.17/698.36
  6. Step 6: Final answer
    x = 916.50

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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.