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Finding the Fourth Proportional to 1,189.64, 1,641.18 and 796.28

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Solution

The fourth proportional to 1,189.64, 1,641.18 and 796.28 is: 1,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.64 : 1,641.18 = 796.28 : x
  2. Step 2: Convert to fraction form
    1,189.64/1,641.18 = 796.28/x
  3. Step 3: Cross multiply
    1,189.64x = 1,641.18 × 796.28
  4. Step 4: Simplify right side
    1,189.64x = 1,306,838.81
  5. Step 5: Solve for x
    x = 1,306,838.81/1,189.64
  6. Step 6: Final answer
    x = 1,098.52

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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.