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Finding the Fourth Proportional to 733.31, 1,011.44 and 512.32

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Solution

The fourth proportional to 733.31, 1,011.44 and 512.32 is: 706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.31 : 1,011.44 = 512.32 : x
  2. Step 2: Convert to fraction form
    733.31/1,011.44 = 512.32/x
  3. Step 3: Cross multiply
    733.31x = 1,011.44 × 512.32
  4. Step 4: Simplify right side
    733.31x = 518,173.32
  5. Step 5: Solve for x
    x = 518,173.32/733.31
  6. Step 6: Final answer
    x = 706.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.