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Finding the Fourth Proportional to 1,196.10, 1,650.57 and 698.88

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Solution

The fourth proportional to 1,196.10, 1,650.57 and 698.88 is: 964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.10 : 1,650.57 = 698.88 : x
  2. Step 2: Convert to fraction form
    1,196.10/1,650.57 = 698.88/x
  3. Step 3: Cross multiply
    1,196.10x = 1,650.57 × 698.88
  4. Step 4: Simplify right side
    1,196.10x = 1,153,550.36
  5. Step 5: Solve for x
    x = 1,153,550.36/1,196.10
  6. Step 6: Final answer
    x = 964.43

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