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Finding the Fourth Proportional to 1,177.02, 1,765.80 and 396.97

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Solution

The fourth proportional to 1,177.02, 1,765.80 and 396.97 is: 595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.02 : 1,765.80 = 396.97 : x
  2. Step 2: Convert to fraction form
    1,177.02/1,765.80 = 396.97/x
  3. Step 3: Cross multiply
    1,177.02x = 1,765.80 × 396.97
  4. Step 4: Simplify right side
    1,177.02x = 700,965.21
  5. Step 5: Solve for x
    x = 700,965.21/1,177.02
  6. Step 6: Final answer
    x = 595.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.