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Finding the Fourth Proportional to 1,177.02, 1,765.94 and 397.40

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Solution

The fourth proportional to 1,177.02, 1,765.94 and 397.40 is: 596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.02 : 1,765.94 = 397.40 : x
  2. Step 2: Convert to fraction form
    1,177.02/1,765.94 = 397.40/x
  3. Step 3: Cross multiply
    1,177.02x = 1,765.94 × 397.40
  4. Step 4: Simplify right side
    1,177.02x = 701,773.74
  5. Step 5: Solve for x
    x = 701,773.74/1,177.02
  6. Step 6: Final answer
    x = 596.23

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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.