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Finding the Fourth Proportional to 869.52, 1,199.86 and 496.50

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Solution

The fourth proportional to 869.52, 1,199.86 and 496.50 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,199.86 = 496.50 : x
  2. Step 2: Convert to fraction form
    869.52/1,199.86 = 496.50/x
  3. Step 3: Cross multiply
    869.52x = 1,199.86 × 496.50
  4. Step 4: Simplify right side
    869.52x = 595,730.49
  5. Step 5: Solve for x
    x = 595,730.49/869.52
  6. Step 6: Final answer
    x = 685.13

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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.