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Finding the Fourth Proportional to 860.65, 1,187.72 and 506.83

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Solution

The fourth proportional to 860.65, 1,187.72 and 506.83 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.65 : 1,187.72 = 506.83 : x
  2. Step 2: Convert to fraction form
    860.65/1,187.72 = 506.83/x
  3. Step 3: Cross multiply
    860.65x = 1,187.72 × 506.83
  4. Step 4: Simplify right side
    860.65x = 601,972.13
  5. Step 5: Solve for x
    x = 601,972.13/860.65
  6. Step 6: Final answer
    x = 699.44

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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.