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Finding the Fourth Proportional to 977.77, 1,466.61 and 684.43

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Solution

The fourth proportional to 977.77, 1,466.61 and 684.43 is: 1,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.77 : 1,466.61 = 684.43 : x
  2. Step 2: Convert to fraction form
    977.77/1,466.61 = 684.43/x
  3. Step 3: Cross multiply
    977.77x = 1,466.61 × 684.43
  4. Step 4: Simplify right side
    977.77x = 1,003,791.88
  5. Step 5: Solve for x
    x = 1,003,791.88/977.77
  6. Step 6: Final answer
    x = 1,026.61

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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.