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Finding the Fourth Proportional to 1,093.73, 1,640.34 and 313.72

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Solution

The fourth proportional to 1,093.73, 1,640.34 and 313.72 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.73 : 1,640.34 = 313.72 : x
  2. Step 2: Convert to fraction form
    1,093.73/1,640.34 = 313.72/x
  3. Step 3: Cross multiply
    1,093.73x = 1,640.34 × 313.72
  4. Step 4: Simplify right side
    1,093.73x = 514,603.36
  5. Step 5: Solve for x
    x = 514,603.36/1,093.73
  6. Step 6: Final answer
    x = 470.51

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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.