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Finding the Fourth Proportional to 649.82, 970.79 and 495.32

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Solution

The fourth proportional to 649.82, 970.79 and 495.32 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 970.79 = 495.32 : x
  2. Step 2: Convert to fraction form
    649.82/970.79 = 495.32/x
  3. Step 3: Cross multiply
    649.82x = 970.79 × 495.32
  4. Step 4: Simplify right side
    649.82x = 480,844.37
  5. Step 5: Solve for x
    x = 480,844.37/649.82
  6. Step 6: Final answer
    x = 739.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.