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Finding the Fourth Proportional to 869.34, 1,199.74 and 515.37

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Solution

The fourth proportional to 869.34, 1,199.74 and 515.37 is: 711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.34 : 1,199.74 = 515.37 : x
  2. Step 2: Convert to fraction form
    869.34/1,199.74 = 515.37/x
  3. Step 3: Cross multiply
    869.34x = 1,199.74 × 515.37
  4. Step 4: Simplify right side
    869.34x = 618,310.00
  5. Step 5: Solve for x
    x = 618,310.00/869.34
  6. Step 6: Final answer
    x = 711.24

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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.