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Finding the Fourth Proportional to 1,093.96, 1,640.64 and 783.24

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Solution

The fourth proportional to 1,093.96, 1,640.64 and 783.24 is: 1,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.96 : 1,640.64 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,093.96/1,640.64 = 783.24/x
  3. Step 3: Cross multiply
    1,093.96x = 1,640.64 × 783.24
  4. Step 4: Simplify right side
    1,093.96x = 1,285,014.87
  5. Step 5: Solve for x
    x = 1,285,014.87/1,093.96
  6. Step 6: Final answer
    x = 1,174.65

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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.