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Finding the Fourth Proportional to 684.82, 1,025.68 and 480.30

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Solution

The fourth proportional to 684.82, 1,025.68 and 480.30 is: 719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 1,025.68 = 480.30 : x
  2. Step 2: Convert to fraction form
    684.82/1,025.68 = 480.30/x
  3. Step 3: Cross multiply
    684.82x = 1,025.68 × 480.30
  4. Step 4: Simplify right side
    684.82x = 492,637.87
  5. Step 5: Solve for x
    x = 492,637.87/684.82
  6. Step 6: Final answer
    x = 719.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.