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Finding the Fourth Proportional to 687.88, 948.54 and 454.60

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Solution

The fourth proportional to 687.88, 948.54 and 454.60 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 948.54 = 454.60 : x
  2. Step 2: Convert to fraction form
    687.88/948.54 = 454.60/x
  3. Step 3: Cross multiply
    687.88x = 948.54 × 454.60
  4. Step 4: Simplify right side
    687.88x = 431,206.28
  5. Step 5: Solve for x
    x = 431,206.28/687.88
  6. Step 6: Final answer
    x = 626.86

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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.