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Finding the Fourth Proportional to 733.66, 1,011.34 and 512.22

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Solution

The fourth proportional to 733.66, 1,011.34 and 512.22 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.66 : 1,011.34 = 512.22 : x
  2. Step 2: Convert to fraction form
    733.66/1,011.34 = 512.22/x
  3. Step 3: Cross multiply
    733.66x = 1,011.34 × 512.22
  4. Step 4: Simplify right side
    733.66x = 518,030.13
  5. Step 5: Solve for x
    x = 518,030.13/733.66
  6. Step 6: Final answer
    x = 706.09

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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.