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Finding the Fourth Proportional to 860.77, 1,289.77 and 778.76

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Solution

The fourth proportional to 860.77, 1,289.77 and 778.76 is: 1,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.77 : 1,289.77 = 778.76 : x
  2. Step 2: Convert to fraction form
    860.77/1,289.77 = 778.76/x
  3. Step 3: Cross multiply
    860.77x = 1,289.77 × 778.76
  4. Step 4: Simplify right side
    860.77x = 1,004,412.89
  5. Step 5: Solve for x
    x = 1,004,412.89/860.77
  6. Step 6: Final answer
    x = 1,166.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.