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Finding the Fourth Proportional to 786.97, 1,178.03 and 719.77

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Solution

The fourth proportional to 786.97, 1,178.03 and 719.77 is: 1,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.97 : 1,178.03 = 719.77 : x
  2. Step 2: Convert to fraction form
    786.97/1,178.03 = 719.77/x
  3. Step 3: Cross multiply
    786.97x = 1,178.03 × 719.77
  4. Step 4: Simplify right side
    786.97x = 847,907.05
  5. Step 5: Solve for x
    x = 847,907.05/786.97
  6. Step 6: Final answer
    x = 1,077.43

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Why These Related Problems?

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