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Finding the Fourth Proportional to 1,333.62, 2,000.50 and 511.51

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Solution

The fourth proportional to 1,333.62, 2,000.50 and 511.51 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.62 : 2,000.50 = 511.51 : x
  2. Step 2: Convert to fraction form
    1,333.62/2,000.50 = 511.51/x
  3. Step 3: Cross multiply
    1,333.62x = 2,000.50 × 511.51
  4. Step 4: Simplify right side
    1,333.62x = 1,023,275.76
  5. Step 5: Solve for x
    x = 1,023,275.76/1,333.62
  6. Step 6: Final answer
    x = 767.29

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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.