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Finding the Fourth Proportional to 1,093.77, 1,640.42 and 313.56

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Solution

The fourth proportional to 1,093.77, 1,640.42 and 313.56 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.77 : 1,640.42 = 313.56 : x
  2. Step 2: Convert to fraction form
    1,093.77/1,640.42 = 313.56/x
  3. Step 3: Cross multiply
    1,093.77x = 1,640.42 × 313.56
  4. Step 4: Simplify right side
    1,093.77x = 514,368.53
  5. Step 5: Solve for x
    x = 514,368.53/1,093.77
  6. Step 6: Final answer
    x = 470.27

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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.