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Finding the Fourth Proportional to 946.09, 1,305.24 and 698

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Solution

The fourth proportional to 946.09, 1,305.24 and 698 is: 962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.09 : 1,305.24 = 698 : x
  2. Step 2: Convert to fraction form
    946.09/1,305.24 = 698/x
  3. Step 3: Cross multiply
    946.09x = 1,305.24 × 698
  4. Step 4: Simplify right side
    946.09x = 911,057.52
  5. Step 5: Solve for x
    x = 911,057.52/946.09
  6. Step 6: Final answer
    x = 962.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.