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Finding the Fourth Proportional to 1,091.23, 1,506.41 and 698.48

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Solution

The fourth proportional to 1,091.23, 1,506.41 and 698.48 is: 964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.23 : 1,506.41 = 698.48 : x
  2. Step 2: Convert to fraction form
    1,091.23/1,506.41 = 698.48/x
  3. Step 3: Cross multiply
    1,091.23x = 1,506.41 × 698.48
  4. Step 4: Simplify right side
    1,091.23x = 1,052,199.94
  5. Step 5: Solve for x
    x = 1,052,199.94/1,091.23
  6. Step 6: Final answer
    x = 964.23

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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.