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Finding the Fourth Proportional to 716.76, 989.12 and 406.24

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Solution

The fourth proportional to 716.76, 989.12 and 406.24 is: 560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 989.12 = 406.24 : x
  2. Step 2: Convert to fraction form
    716.76/989.12 = 406.24/x
  3. Step 3: Cross multiply
    716.76x = 989.12 × 406.24
  4. Step 4: Simplify right side
    716.76x = 401,820.11
  5. Step 5: Solve for x
    x = 401,820.11/716.76
  6. Step 6: Final answer
    x = 560.61

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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.