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Finding the Fourth Proportional to 1,191.22, 1,643.85 and 660.16

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Solution

The fourth proportional to 1,191.22, 1,643.85 and 660.16 is: 911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.22 : 1,643.85 = 660.16 : x
  2. Step 2: Convert to fraction form
    1,191.22/1,643.85 = 660.16/x
  3. Step 3: Cross multiply
    1,191.22x = 1,643.85 × 660.16
  4. Step 4: Simplify right side
    1,191.22x = 1,085,204.02
  5. Step 5: Solve for x
    x = 1,085,204.02/1,191.22
  6. Step 6: Final answer
    x = 911.00

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1.5x scale

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.