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Finding the Fourth Proportional to 680.65, 1,018.65 and 527.25

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Solution

The fourth proportional to 680.65, 1,018.65 and 527.25 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.65 : 1,018.65 = 527.25 : x
  2. Step 2: Convert to fraction form
    680.65/1,018.65 = 527.25/x
  3. Step 3: Cross multiply
    680.65x = 1,018.65 × 527.25
  4. Step 4: Simplify right side
    680.65x = 537,089.01
  5. Step 5: Solve for x
    x = 537,089.01/680.65
  6. Step 6: Final answer
    x = 789.09

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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.