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Finding the Fourth Proportional to 648.56, 970.79 and 550.14

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Solution

The fourth proportional to 648.56, 970.79 and 550.14 is: 823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 970.79 = 550.14 : x
  2. Step 2: Convert to fraction form
    648.56/970.79 = 550.14/x
  3. Step 3: Cross multiply
    648.56x = 970.79 × 550.14
  4. Step 4: Simplify right side
    648.56x = 534,069.48
  5. Step 5: Solve for x
    x = 534,069.48/648.56
  6. Step 6: Final answer
    x = 823.47

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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.