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Finding the Fourth Proportional to 1,218.94, 1,682.85 and 777.22

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Solution

The fourth proportional to 1,218.94, 1,682.85 and 777.22 is: 1,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.94 : 1,682.85 = 777.22 : x
  2. Step 2: Convert to fraction form
    1,218.94/1,682.85 = 777.22/x
  3. Step 3: Cross multiply
    1,218.94x = 1,682.85 × 777.22
  4. Step 4: Simplify right side
    1,218.94x = 1,307,944.68
  5. Step 5: Solve for x
    x = 1,307,944.68/1,218.94
  6. Step 6: Final answer
    x = 1,073.02

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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.