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Finding the Fourth Proportional to 649.41, 969.70 and 510.90

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Solution

The fourth proportional to 649.41, 969.70 and 510.90 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.41 : 969.70 = 510.90 : x
  2. Step 2: Convert to fraction form
    649.41/969.70 = 510.90/x
  3. Step 3: Cross multiply
    649.41x = 969.70 × 510.90
  4. Step 4: Simplify right side
    649.41x = 495,419.73
  5. Step 5: Solve for x
    x = 495,419.73/649.41
  6. Step 6: Final answer
    x = 762.88

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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.