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Finding the Fourth Proportional to 1,000.50, 1,500.14 and 513.28

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Solution

The fourth proportional to 1,000.50, 1,500.14 and 513.28 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.50 : 1,500.14 = 513.28 : x
  2. Step 2: Convert to fraction form
    1,000.50/1,500.14 = 513.28/x
  3. Step 3: Cross multiply
    1,000.50x = 1,500.14 × 513.28
  4. Step 4: Simplify right side
    1,000.50x = 769,989.29
  5. Step 5: Solve for x
    x = 769,989.29/1,000.50
  6. Step 6: Final answer
    x = 769.61

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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.