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Finding the Fourth Proportional to 680.52, 1,020.48 and 461.52

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Solution

The fourth proportional to 680.52, 1,020.48 and 461.52 is: 692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 1,020.48 = 461.52 : x
  2. Step 2: Convert to fraction form
    680.52/1,020.48 = 461.52/x
  3. Step 3: Cross multiply
    680.52x = 1,020.48 × 461.52
  4. Step 4: Simplify right side
    680.52x = 470,971.93
  5. Step 5: Solve for x
    x = 470,971.93/680.52
  6. Step 6: Final answer
    x = 692.08

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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.