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Finding the Fourth Proportional to 1,177.07, 1,765.81 and 484.11

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Solution

The fourth proportional to 1,177.07, 1,765.81 and 484.11 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.07 : 1,765.81 = 484.11 : x
  2. Step 2: Convert to fraction form
    1,177.07/1,765.81 = 484.11/x
  3. Step 3: Cross multiply
    1,177.07x = 1,765.81 × 484.11
  4. Step 4: Simplify right side
    1,177.07x = 854,851.69
  5. Step 5: Solve for x
    x = 854,851.69/1,177.07
  6. Step 6: Final answer
    x = 726.25

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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.