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Finding the Fourth Proportional to 1,333.30, 2,000.64 and 512.20

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Solution

The fourth proportional to 1,333.30, 2,000.64 and 512.20 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.30 : 2,000.64 = 512.20 : x
  2. Step 2: Convert to fraction form
    1,333.30/2,000.64 = 512.20/x
  3. Step 3: Cross multiply
    1,333.30x = 2,000.64 × 512.20
  4. Step 4: Simplify right side
    1,333.30x = 1,024,727.81
  5. Step 5: Solve for x
    x = 1,024,727.81/1,333.30
  6. Step 6: Final answer
    x = 768.57

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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.