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Finding the Fourth Proportional to 746.79, 1,120.79 and 381.68

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Solution

The fourth proportional to 746.79, 1,120.79 and 381.68 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.79 : 1,120.79 = 381.68 : x
  2. Step 2: Convert to fraction form
    746.79/1,120.79 = 381.68/x
  3. Step 3: Cross multiply
    746.79x = 1,120.79 × 381.68
  4. Step 4: Simplify right side
    746.79x = 427,783.13
  5. Step 5: Solve for x
    x = 427,783.13/746.79
  6. Step 6: Final answer
    x = 572.83

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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.