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Finding the Fourth Proportional to 1,219.77, 1,682.22 and 864.99

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Solution

The fourth proportional to 1,219.77, 1,682.22 and 864.99 is: 1,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.77 : 1,682.22 = 864.99 : x
  2. Step 2: Convert to fraction form
    1,219.77/1,682.22 = 864.99/x
  3. Step 3: Cross multiply
    1,219.77x = 1,682.22 × 864.99
  4. Step 4: Simplify right side
    1,219.77x = 1,455,103.48
  5. Step 5: Solve for x
    x = 1,455,103.48/1,219.77
  6. Step 6: Final answer
    x = 1,192.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.