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Finding the Fourth Proportional to 716.64, 989.08 and 422.07

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Solution

The fourth proportional to 716.64, 989.08 and 422.07 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 989.08 = 422.07 : x
  2. Step 2: Convert to fraction form
    716.64/989.08 = 422.07/x
  3. Step 3: Cross multiply
    716.64x = 989.08 × 422.07
  4. Step 4: Simplify right side
    716.64x = 417,456.23
  5. Step 5: Solve for x
    x = 417,456.23/716.64
  6. Step 6: Final answer
    x = 582.52

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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.