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Finding the Fourth Proportional to 648.45, 972.58 and 539.47

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Solution

The fourth proportional to 648.45, 972.58 and 539.47 is: 809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 972.58 = 539.47 : x
  2. Step 2: Convert to fraction form
    648.45/972.58 = 539.47/x
  3. Step 3: Cross multiply
    648.45x = 972.58 × 539.47
  4. Step 4: Simplify right side
    648.45x = 524,677.73
  5. Step 5: Solve for x
    x = 524,677.73/648.45
  6. Step 6: Final answer
    x = 809.13

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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.