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Finding the Fourth Proportional to 1,195.79, 1,650.21 and 698.54

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Solution

The fourth proportional to 1,195.79, 1,650.21 and 698.54 is: 964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.79 : 1,650.21 = 698.54 : x
  2. Step 2: Convert to fraction form
    1,195.79/1,650.21 = 698.54/x
  3. Step 3: Cross multiply
    1,195.79x = 1,650.21 × 698.54
  4. Step 4: Simplify right side
    1,195.79x = 1,152,737.69
  5. Step 5: Solve for x
    x = 1,152,737.69/1,195.79
  6. Step 6: Final answer
    x = 964.00

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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.