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Finding the Fourth Proportional to 758.66, 1,137.24 and 411.66

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Solution

The fourth proportional to 758.66, 1,137.24 and 411.66 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,137.24 = 411.66 : x
  2. Step 2: Convert to fraction form
    758.66/1,137.24 = 411.66/x
  3. Step 3: Cross multiply
    758.66x = 1,137.24 × 411.66
  4. Step 4: Simplify right side
    758.66x = 468,156.22
  5. Step 5: Solve for x
    x = 468,156.22/758.66
  6. Step 6: Final answer
    x = 617.09

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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.