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Finding the Fourth Proportional to 649.60, 975.30 and 512.80

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Solution

The fourth proportional to 649.60, 975.30 and 512.80 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 975.30 = 512.80 : x
  2. Step 2: Convert to fraction form
    649.60/975.30 = 512.80/x
  3. Step 3: Cross multiply
    649.60x = 975.30 × 512.80
  4. Step 4: Simplify right side
    649.60x = 500,133.84
  5. Step 5: Solve for x
    x = 500,133.84/649.60
  6. Step 6: Final answer
    x = 769.91

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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.