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Finding the Fourth Proportional to 746.94, 1,120.82 and 314.09

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Solution

The fourth proportional to 746.94, 1,120.82 and 314.09 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,120.82 = 314.09 : x
  2. Step 2: Convert to fraction form
    746.94/1,120.82 = 314.09/x
  3. Step 3: Cross multiply
    746.94x = 1,120.82 × 314.09
  4. Step 4: Simplify right side
    746.94x = 352,031.18
  5. Step 5: Solve for x
    x = 352,031.18/746.94
  6. Step 6: Final answer
    x = 471.30

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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.