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Finding the Fourth Proportional to 1,093.60, 1,640.12 and 313.43

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Solution

The fourth proportional to 1,093.60, 1,640.12 and 313.43 is: 470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.60 : 1,640.12 = 313.43 : x
  2. Step 2: Convert to fraction form
    1,093.60/1,640.12 = 313.43/x
  3. Step 3: Cross multiply
    1,093.60x = 1,640.12 × 313.43
  4. Step 4: Simplify right side
    1,093.60x = 514,060.30
  5. Step 5: Solve for x
    x = 514,060.30/1,093.60
  6. Step 6: Final answer
    x = 470.06

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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.