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Finding the Fourth Proportional to 1,093.90, 1,640.60 and 313.89

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Solution

The fourth proportional to 1,093.90, 1,640.60 and 313.89 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.90 : 1,640.60 = 313.89 : x
  2. Step 2: Convert to fraction form
    1,093.90/1,640.60 = 313.89/x
  3. Step 3: Cross multiply
    1,093.90x = 1,640.60 × 313.89
  4. Step 4: Simplify right side
    1,093.90x = 514,967.93
  5. Step 5: Solve for x
    x = 514,967.93/1,093.90
  6. Step 6: Final answer
    x = 470.76

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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.