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Finding the Fourth Proportional to 1,196.19, 1,650.85 and 698.72

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Solution

The fourth proportional to 1,196.19, 1,650.85 and 698.72 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.19 : 1,650.85 = 698.72 : x
  2. Step 2: Convert to fraction form
    1,196.19/1,650.85 = 698.72/x
  3. Step 3: Cross multiply
    1,196.19x = 1,650.85 × 698.72
  4. Step 4: Simplify right side
    1,196.19x = 1,153,471.91
  5. Step 5: Solve for x
    x = 1,153,471.91/1,196.19
  6. Step 6: Final answer
    x = 964.29

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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.