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Finding the Fourth Proportional to 716.88, 989.16 and 422.07

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Solution

The fourth proportional to 716.88, 989.16 and 422.07 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.88 : 989.16 = 422.07 : x
  2. Step 2: Convert to fraction form
    716.88/989.16 = 422.07/x
  3. Step 3: Cross multiply
    716.88x = 989.16 × 422.07
  4. Step 4: Simplify right side
    716.88x = 417,494.76
  5. Step 5: Solve for x
    x = 417,494.76/716.88
  6. Step 6: Final answer
    x = 582.38

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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.