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Finding the Fourth Proportional to 1,093.85, 1,640.53 and 313.84

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Solution

The fourth proportional to 1,093.85, 1,640.53 and 313.84 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.85 : 1,640.53 = 313.84 : x
  2. Step 2: Convert to fraction form
    1,093.85/1,640.53 = 313.84/x
  3. Step 3: Cross multiply
    1,093.85x = 1,640.53 × 313.84
  4. Step 4: Simplify right side
    1,093.85x = 514,863.94
  5. Step 5: Solve for x
    x = 514,863.94/1,093.85
  6. Step 6: Final answer
    x = 470.69

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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.