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Finding the Fourth Proportional to 869.52, 1,199.70 and 559.20

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Solution

The fourth proportional to 869.52, 1,199.70 and 559.20 is: 771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,199.70 = 559.20 : x
  2. Step 2: Convert to fraction form
    869.52/1,199.70 = 559.20/x
  3. Step 3: Cross multiply
    869.52x = 1,199.70 × 559.20
  4. Step 4: Simplify right side
    869.52x = 670,872.24
  5. Step 5: Solve for x
    x = 670,872.24/869.52
  6. Step 6: Final answer
    x = 771.54

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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.