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Finding the Fourth Proportional to 1,191.28, 1,643.95 and 660.20

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Solution

The fourth proportional to 1,191.28, 1,643.95 and 660.20 is: 911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.28 : 1,643.95 = 660.20 : x
  2. Step 2: Convert to fraction form
    1,191.28/1,643.95 = 660.20/x
  3. Step 3: Cross multiply
    1,191.28x = 1,643.95 × 660.20
  4. Step 4: Simplify right side
    1,191.28x = 1,085,334.14
  5. Step 5: Solve for x
    x = 1,085,334.14/1,191.28
  6. Step 6: Final answer
    x = 911.06

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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.