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Finding the Fourth Proportional to 680.06, 1,020.26 and 350.89

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Solution

The fourth proportional to 680.06, 1,020.26 and 350.89 is: 526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 1,020.26 = 350.89 : x
  2. Step 2: Convert to fraction form
    680.06/1,020.26 = 350.89/x
  3. Step 3: Cross multiply
    680.06x = 1,020.26 × 350.89
  4. Step 4: Simplify right side
    680.06x = 357,997.36
  5. Step 5: Solve for x
    x = 357,997.36/680.06
  6. Step 6: Final answer
    x = 526.42

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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.