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Finding the Fourth Proportional to 1,177.11, 1,765.79 and 397.22

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Solution

The fourth proportional to 1,177.11, 1,765.79 and 397.22 is: 595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.11 : 1,765.79 = 397.22 : x
  2. Step 2: Convert to fraction form
    1,177.11/1,765.79 = 397.22/x
  3. Step 3: Cross multiply
    1,177.11x = 1,765.79 × 397.22
  4. Step 4: Simplify right side
    1,177.11x = 701,411.52
  5. Step 5: Solve for x
    x = 701,411.52/1,177.11
  6. Step 6: Final answer
    x = 595.87

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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.