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Finding the Fourth Proportional to 1,177.78, 1,765.20 and 745.06

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Solution

The fourth proportional to 1,177.78, 1,765.20 and 745.06 is: 1,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.78 : 1,765.20 = 745.06 : x
  2. Step 2: Convert to fraction form
    1,177.78/1,765.20 = 745.06/x
  3. Step 3: Cross multiply
    1,177.78x = 1,765.20 × 745.06
  4. Step 4: Simplify right side
    1,177.78x = 1,315,179.91
  5. Step 5: Solve for x
    x = 1,315,179.91/1,177.78
  6. Step 6: Final answer
    x = 1,116.66

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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.