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Finding the Fourth Proportional to 680.19, 1,020.97 and 460.12

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Solution

The fourth proportional to 680.19, 1,020.97 and 460.12 is: 690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.19 : 1,020.97 = 460.12 : x
  2. Step 2: Convert to fraction form
    680.19/1,020.97 = 460.12/x
  3. Step 3: Cross multiply
    680.19x = 1,020.97 × 460.12
  4. Step 4: Simplify right side
    680.19x = 469,768.72
  5. Step 5: Solve for x
    x = 469,768.72/680.19
  6. Step 6: Final answer
    x = 690.64

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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.