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Finding the Fourth Proportional to 687.52, 947.92 and 480.16

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Solution

The fourth proportional to 687.52, 947.92 and 480.16 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.52 : 947.92 = 480.16 : x
  2. Step 2: Convert to fraction form
    687.52/947.92 = 480.16/x
  3. Step 3: Cross multiply
    687.52x = 947.92 × 480.16
  4. Step 4: Simplify right side
    687.52x = 455,153.27
  5. Step 5: Solve for x
    x = 455,153.27/687.52
  6. Step 6: Final answer
    x = 662.02

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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.