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Finding the Fourth Proportional to 736.92, 1,105.31 and 462.18

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Solution

The fourth proportional to 736.92, 1,105.31 and 462.18 is: 693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.92 : 1,105.31 = 462.18 : x
  2. Step 2: Convert to fraction form
    736.92/1,105.31 = 462.18/x
  3. Step 3: Cross multiply
    736.92x = 1,105.31 × 462.18
  4. Step 4: Simplify right side
    736.92x = 510,852.18
  5. Step 5: Solve for x
    x = 510,852.18/736.92
  6. Step 6: Final answer
    x = 693.23

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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.