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Finding the Fourth Proportional to 776.57, 1,166.36 and 666.84

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Solution

The fourth proportional to 776.57, 1,166.36 and 666.84 is: 1,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,166.36 = 666.84 : x
  2. Step 2: Convert to fraction form
    776.57/1,166.36 = 666.84/x
  3. Step 3: Cross multiply
    776.57x = 1,166.36 × 666.84
  4. Step 4: Simplify right side
    776.57x = 777,777.17
  5. Step 5: Solve for x
    x = 777,777.17/776.57
  6. Step 6: Final answer
    x = 1,001.56

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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.