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Finding the Fourth Proportional to 1,191.99, 1,641.54 and 1,166.55

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Solution

The fourth proportional to 1,191.99, 1,641.54 and 1,166.55 is: 1,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.99 : 1,641.54 = 1,166.55 : x
  2. Step 2: Convert to fraction form
    1,191.99/1,641.54 = 1,166.55/x
  3. Step 3: Cross multiply
    1,191.99x = 1,641.54 × 1,166.55
  4. Step 4: Simplify right side
    1,191.99x = 1,914,938.49
  5. Step 5: Solve for x
    x = 1,914,938.49/1,191.99
  6. Step 6: Final answer
    x = 1,606.51

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Double scale
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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.