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Finding the Fourth Proportional to 680.48, 1,020.57 and 193.52

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Solution

The fourth proportional to 680.48, 1,020.57 and 193.52 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.48 : 1,020.57 = 193.52 : x
  2. Step 2: Convert to fraction form
    680.48/1,020.57 = 193.52/x
  3. Step 3: Cross multiply
    680.48x = 1,020.57 × 193.52
  4. Step 4: Simplify right side
    680.48x = 197,500.71
  5. Step 5: Solve for x
    x = 197,500.71/680.48
  6. Step 6: Final answer
    x = 290.24

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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.