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Finding the Fourth Proportional to 680.20, 921.15 and 680.20

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Solution

The fourth proportional to 680.20, 921.15 and 680.20 is: 921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.20 : 921.15 = 680.20 : x
  2. Step 2: Convert to fraction form
    680.20/921.15 = 680.20/x
  3. Step 3: Cross multiply
    680.20x = 921.15 × 680.20
  4. Step 4: Simplify right side
    680.20x = 626,566.23
  5. Step 5: Solve for x
    x = 626,566.23/680.20
  6. Step 6: Final answer
    x = 921.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.