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Finding the Fourth Proportional to 683.52, 942.72 and 576.80

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Solution

The fourth proportional to 683.52, 942.72 and 576.80 is: 795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 942.72 = 576.80 : x
  2. Step 2: Convert to fraction form
    683.52/942.72 = 576.80/x
  3. Step 3: Cross multiply
    683.52x = 942.72 × 576.80
  4. Step 4: Simplify right side
    683.52x = 543,760.90
  5. Step 5: Solve for x
    x = 543,760.90/683.52
  6. Step 6: Final answer
    x = 795.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.