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Finding the Fourth Proportional to 1,177.61, 1,765.73 and 397.20

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Solution

The fourth proportional to 1,177.61, 1,765.73 and 397.20 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.61 : 1,765.73 = 397.20 : x
  2. Step 2: Convert to fraction form
    1,177.61/1,765.73 = 397.20/x
  3. Step 3: Cross multiply
    1,177.61x = 1,765.73 × 397.20
  4. Step 4: Simplify right side
    1,177.61x = 701,355.57
  5. Step 5: Solve for x
    x = 701,355.57/1,177.61
  6. Step 6: Final answer
    x = 595.58

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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.