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Finding the Fourth Proportional to 860.86, 1,297.08 and 778.69

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Solution

The fourth proportional to 860.86, 1,297.08 and 778.69 is: 1,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,297.08 = 778.69 : x
  2. Step 2: Convert to fraction form
    860.86/1,297.08 = 778.69/x
  3. Step 3: Cross multiply
    860.86x = 1,297.08 × 778.69
  4. Step 4: Simplify right side
    860.86x = 1,010,017.06
  5. Step 5: Solve for x
    x = 1,010,017.06/860.86
  6. Step 6: Final answer
    x = 1,173.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.