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Finding the Fourth Proportional to 680.63, 940.07 and 459.20

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Solution

The fourth proportional to 680.63, 940.07 and 459.20 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.63 : 940.07 = 459.20 : x
  2. Step 2: Convert to fraction form
    680.63/940.07 = 459.20/x
  3. Step 3: Cross multiply
    680.63x = 940.07 × 459.20
  4. Step 4: Simplify right side
    680.63x = 431,683.64
  5. Step 5: Solve for x
    x = 431,683.64/680.63
  6. Step 6: Final answer
    x = 634.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.