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Finding the Fourth Proportional to 687.09, 948.15 and 421.97

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Solution

The fourth proportional to 687.09, 948.15 and 421.97 is: 582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 948.15 = 421.97 : x
  2. Step 2: Convert to fraction form
    687.09/948.15 = 421.97/x
  3. Step 3: Cross multiply
    687.09x = 948.15 × 421.97
  4. Step 4: Simplify right side
    687.09x = 400,090.86
  5. Step 5: Solve for x
    x = 400,090.86/687.09
  6. Step 6: Final answer
    x = 582.30

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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.