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Finding the Fourth Proportional to 1,195.77, 1,650.04 and 698.05

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Solution

The fourth proportional to 1,195.77, 1,650.04 and 698.05 is: 963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.77 : 1,650.04 = 698.05 : x
  2. Step 2: Convert to fraction form
    1,195.77/1,650.04 = 698.05/x
  3. Step 3: Cross multiply
    1,195.77x = 1,650.04 × 698.05
  4. Step 4: Simplify right side
    1,195.77x = 1,151,806.93
  5. Step 5: Solve for x
    x = 1,151,806.93/1,195.77
  6. Step 6: Final answer
    x = 963.23

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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.