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Finding the Fourth Proportional to 758.16, 1,137.78 and 566.28

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Solution

The fourth proportional to 758.16, 1,137.78 and 566.28 is: 849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.16 : 1,137.78 = 566.28 : x
  2. Step 2: Convert to fraction form
    758.16/1,137.78 = 566.28/x
  3. Step 3: Cross multiply
    758.16x = 1,137.78 × 566.28
  4. Step 4: Simplify right side
    758.16x = 644,302.06
  5. Step 5: Solve for x
    x = 644,302.06/758.16
  6. Step 6: Final answer
    x = 849.82

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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.