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Finding the Fourth Proportional to 1,197.81, 1,796.18 and 642.96

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Solution

The fourth proportional to 1,197.81, 1,796.18 and 642.96 is: 964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.81 : 1,796.18 = 642.96 : x
  2. Step 2: Convert to fraction form
    1,197.81/1,796.18 = 642.96/x
  3. Step 3: Cross multiply
    1,197.81x = 1,796.18 × 642.96
  4. Step 4: Simplify right side
    1,197.81x = 1,154,868.68
  5. Step 5: Solve for x
    x = 1,154,868.68/1,197.81
  6. Step 6: Final answer
    x = 964.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.