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Finding the Fourth Proportional to 977.12, 1,463.95 and 513.80

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Solution

The fourth proportional to 977.12, 1,463.95 and 513.80 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,463.95 = 513.80 : x
  2. Step 2: Convert to fraction form
    977.12/1,463.95 = 513.80/x
  3. Step 3: Cross multiply
    977.12x = 1,463.95 × 513.80
  4. Step 4: Simplify right side
    977.12x = 752,168.91
  5. Step 5: Solve for x
    x = 752,168.91/977.12
  6. Step 6: Final answer
    x = 769.79

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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.