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Finding the Fourth Proportional to 758.82, 1,046.48 and 506.30

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Solution

The fourth proportional to 758.82, 1,046.48 and 506.30 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.82 : 1,046.48 = 506.30 : x
  2. Step 2: Convert to fraction form
    758.82/1,046.48 = 506.30/x
  3. Step 3: Cross multiply
    758.82x = 1,046.48 × 506.30
  4. Step 4: Simplify right side
    758.82x = 529,832.91
  5. Step 5: Solve for x
    x = 529,832.91/758.82
  6. Step 6: Final answer
    x = 698.23

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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.