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Finding the Fourth Proportional to 640.47, 961.46 and 539.02

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Solution

The fourth proportional to 640.47, 961.46 and 539.02 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.47 : 961.46 = 539.02 : x
  2. Step 2: Convert to fraction form
    640.47/961.46 = 539.02/x
  3. Step 3: Cross multiply
    640.47x = 961.46 × 539.02
  4. Step 4: Simplify right side
    640.47x = 518,246.12
  5. Step 5: Solve for x
    x = 518,246.12/640.47
  6. Step 6: Final answer
    x = 809.17

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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.