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Finding the Fourth Proportional to 680.45, 1,021.14 and 356.04

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Solution

The fourth proportional to 680.45, 1,021.14 and 356.04 is: 534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 1,021.14 = 356.04 : x
  2. Step 2: Convert to fraction form
    680.45/1,021.14 = 356.04/x
  3. Step 3: Cross multiply
    680.45x = 1,021.14 × 356.04
  4. Step 4: Simplify right side
    680.45x = 363,566.69
  5. Step 5: Solve for x
    x = 363,566.69/680.45
  6. Step 6: Final answer
    x = 534.31

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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.