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Finding the Fourth Proportional to 758.35, 1,046.71 and 506.29

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Solution

The fourth proportional to 758.35, 1,046.71 and 506.29 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.35 : 1,046.71 = 506.29 : x
  2. Step 2: Convert to fraction form
    758.35/1,046.71 = 506.29/x
  3. Step 3: Cross multiply
    758.35x = 1,046.71 × 506.29
  4. Step 4: Simplify right side
    758.35x = 529,944.83
  5. Step 5: Solve for x
    x = 529,944.83/758.35
  6. Step 6: Final answer
    x = 698.81

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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.