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Finding the Fourth Proportional to 758.66, 1,044.14 and 537.21

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Solution

The fourth proportional to 758.66, 1,044.14 and 537.21 is: 739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,044.14 = 537.21 : x
  2. Step 2: Convert to fraction form
    758.66/1,044.14 = 537.21/x
  3. Step 3: Cross multiply
    758.66x = 1,044.14 × 537.21
  4. Step 4: Simplify right side
    758.66x = 560,919.76
  5. Step 5: Solve for x
    x = 560,919.76/758.66
  6. Step 6: Final answer
    x = 739.36

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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.