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Finding the Fourth Proportional to 1,180.56, 1,768.40 and 745.58

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Solution

The fourth proportional to 1,180.56, 1,768.40 and 745.58 is: 1,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.56 : 1,768.40 = 745.58 : x
  2. Step 2: Convert to fraction form
    1,180.56/1,768.40 = 745.58/x
  3. Step 3: Cross multiply
    1,180.56x = 1,768.40 × 745.58
  4. Step 4: Simplify right side
    1,180.56x = 1,318,483.67
  5. Step 5: Solve for x
    x = 1,318,483.67/1,180.56
  6. Step 6: Final answer
    x = 1,116.83

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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.