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Finding the Fourth Proportional to 1,177.77, 1,766.68 and 398.09

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Solution

The fourth proportional to 1,177.77, 1,766.68 and 398.09 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.77 : 1,766.68 = 398.09 : x
  2. Step 2: Convert to fraction form
    1,177.77/1,766.68 = 398.09/x
  3. Step 3: Cross multiply
    1,177.77x = 1,766.68 × 398.09
  4. Step 4: Simplify right side
    1,177.77x = 703,301.06
  5. Step 5: Solve for x
    x = 703,301.06/1,177.77
  6. Step 6: Final answer
    x = 597.14

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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.