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Finding the Fourth Proportional to 680.33, 1,020.63 and 355.61

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Solution

The fourth proportional to 680.33, 1,020.63 and 355.61 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.33 : 1,020.63 = 355.61 : x
  2. Step 2: Convert to fraction form
    680.33/1,020.63 = 355.61/x
  3. Step 3: Cross multiply
    680.33x = 1,020.63 × 355.61
  4. Step 4: Simplify right side
    680.33x = 362,941.13
  5. Step 5: Solve for x
    x = 362,941.13/680.33
  6. Step 6: Final answer
    x = 533.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.