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Finding the Fourth Proportional to 1,093.83, 1,640.46 and 747.11

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Solution

The fourth proportional to 1,093.83, 1,640.46 and 747.11 is: 1,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.83 : 1,640.46 = 747.11 : x
  2. Step 2: Convert to fraction form
    1,093.83/1,640.46 = 747.11/x
  3. Step 3: Cross multiply
    1,093.83x = 1,640.46 × 747.11
  4. Step 4: Simplify right side
    1,093.83x = 1,225,595.87
  5. Step 5: Solve for x
    x = 1,225,595.87/1,093.83
  6. Step 6: Final answer
    x = 1,120.46

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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.