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Finding the Fourth Proportional to 1,218.50, 1,682.91 and 824.84

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Solution

The fourth proportional to 1,218.50, 1,682.91 and 824.84 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.50 : 1,682.91 = 824.84 : x
  2. Step 2: Convert to fraction form
    1,218.50/1,682.91 = 824.84/x
  3. Step 3: Cross multiply
    1,218.50x = 1,682.91 × 824.84
  4. Step 4: Simplify right side
    1,218.50x = 1,388,131.48
  5. Step 5: Solve for x
    x = 1,388,131.48/1,218.50
  6. Step 6: Final answer
    x = 1,139.21

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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.