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Finding the Fourth Proportional to 1,177.00, 1,766.08 and 832.55

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Solution

The fourth proportional to 1,177.00, 1,766.08 and 832.55 is: 1,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.00 : 1,766.08 = 832.55 : x
  2. Step 2: Convert to fraction form
    1,177.00/1,766.08 = 832.55/x
  3. Step 3: Cross multiply
    1,177.00x = 1,766.08 × 832.55
  4. Step 4: Simplify right side
    1,177.00x = 1,470,348.74
  5. Step 5: Solve for x
    x = 1,470,348.74/1,177.00
  6. Step 6: Final answer
    x = 1,249.23

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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.