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Finding the Fourth Proportional to 869.52, 1,199.64 and 559.08

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Solution

The fourth proportional to 869.52, 1,199.64 and 559.08 is: 771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,199.64 = 559.08 : x
  2. Step 2: Convert to fraction form
    869.52/1,199.64 = 559.08/x
  3. Step 3: Cross multiply
    869.52x = 1,199.64 × 559.08
  4. Step 4: Simplify right side
    869.52x = 670,694.73
  5. Step 5: Solve for x
    x = 670,694.73/869.52
  6. Step 6: Final answer
    x = 771.34

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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.