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Finding the Fourth Proportional to 812.92, 1,218.69 and 374.04

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Solution

The fourth proportional to 812.92, 1,218.69 and 374.04 is: 560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.92 : 1,218.69 = 374.04 : x
  2. Step 2: Convert to fraction form
    812.92/1,218.69 = 374.04/x
  3. Step 3: Cross multiply
    812.92x = 1,218.69 × 374.04
  4. Step 4: Simplify right side
    812.92x = 455,838.81
  5. Step 5: Solve for x
    x = 455,838.81/812.92
  6. Step 6: Final answer
    x = 560.74

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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.