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Finding the Fourth Proportional to 738.34, 1,106.92 and 506.66

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Solution

The fourth proportional to 738.34, 1,106.92 and 506.66 is: 759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,106.92 = 506.66 : x
  2. Step 2: Convert to fraction form
    738.34/1,106.92 = 506.66/x
  3. Step 3: Cross multiply
    738.34x = 1,106.92 × 506.66
  4. Step 4: Simplify right side
    738.34x = 560,832.09
  5. Step 5: Solve for x
    x = 560,832.09/738.34
  6. Step 6: Final answer
    x = 759.59

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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.