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Finding the Fourth Proportional to 716.52, 989.10 and 454.62

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Solution

The fourth proportional to 716.52, 989.10 and 454.62 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.52 : 989.10 = 454.62 : x
  2. Step 2: Convert to fraction form
    716.52/989.10 = 454.62/x
  3. Step 3: Cross multiply
    716.52x = 989.10 × 454.62
  4. Step 4: Simplify right side
    716.52x = 449,664.64
  5. Step 5: Solve for x
    x = 449,664.64/716.52
  6. Step 6: Final answer
    x = 627.57

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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.