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Finding the Fourth Proportional to 1,177.64, 1,765.24 and 397.38

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Solution

The fourth proportional to 1,177.64, 1,765.24 and 397.38 is: 595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.64 : 1,765.24 = 397.38 : x
  2. Step 2: Convert to fraction form
    1,177.64/1,765.24 = 397.38/x
  3. Step 3: Cross multiply
    1,177.64x = 1,765.24 × 397.38
  4. Step 4: Simplify right side
    1,177.64x = 701,473.97
  5. Step 5: Solve for x
    x = 701,473.97/1,177.64
  6. Step 6: Final answer
    x = 595.66

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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.