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Finding the Fourth Proportional to 776.37, 1,166.86 and 719.08

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Solution

The fourth proportional to 776.37, 1,166.86 and 719.08 is: 1,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.37 : 1,166.86 = 719.08 : x
  2. Step 2: Convert to fraction form
    776.37/1,166.86 = 719.08/x
  3. Step 3: Cross multiply
    776.37x = 1,166.86 × 719.08
  4. Step 4: Simplify right side
    776.37x = 839,059.63
  5. Step 5: Solve for x
    x = 839,059.63/776.37
  6. Step 6: Final answer
    x = 1,080.75

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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.