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Finding the Fourth Proportional to 758.20, 1,137.30 and 566.20

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Solution

The fourth proportional to 758.20, 1,137.30 and 566.20 is: 849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.20 : 1,137.30 = 566.20 : x
  2. Step 2: Convert to fraction form
    758.20/1,137.30 = 566.20/x
  3. Step 3: Cross multiply
    758.20x = 1,137.30 × 566.20
  4. Step 4: Simplify right side
    758.20x = 643,939.26
  5. Step 5: Solve for x
    x = 643,939.26/758.20
  6. Step 6: Final answer
    x = 849.30

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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.