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Finding the Fourth Proportional to 1,177.64, 1,766.46 and 811.33

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Solution

The fourth proportional to 1,177.64, 1,766.46 and 811.33 is: 1,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.64 : 1,766.46 = 811.33 : x
  2. Step 2: Convert to fraction form
    1,177.64/1,766.46 = 811.33/x
  3. Step 3: Cross multiply
    1,177.64x = 1,766.46 × 811.33
  4. Step 4: Simplify right side
    1,177.64x = 1,433,181.99
  5. Step 5: Solve for x
    x = 1,433,181.99/1,177.64
  6. Step 6: Final answer
    x = 1,217.00

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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.