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Finding the Fourth Proportional to 687.13, 948.23 and 480.49

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Solution

The fourth proportional to 687.13, 948.23 and 480.49 is: 663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.13 : 948.23 = 480.49 : x
  2. Step 2: Convert to fraction form
    687.13/948.23 = 480.49/x
  3. Step 3: Cross multiply
    687.13x = 948.23 × 480.49
  4. Step 4: Simplify right side
    687.13x = 455,615.03
  5. Step 5: Solve for x
    x = 455,615.03/687.13
  6. Step 6: Final answer
    x = 663.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.