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Finding the Fourth Proportional to 786.62, 1,085.31 and 506.88

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Solution

The fourth proportional to 786.62, 1,085.31 and 506.88 is: 699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.62 : 1,085.31 = 506.88 : x
  2. Step 2: Convert to fraction form
    786.62/1,085.31 = 506.88/x
  3. Step 3: Cross multiply
    786.62x = 1,085.31 × 506.88
  4. Step 4: Simplify right side
    786.62x = 550,121.93
  5. Step 5: Solve for x
    x = 550,121.93/786.62
  6. Step 6: Final answer
    x = 699.35

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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.