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Finding the Fourth Proportional to 892.17, 1,339.79 and 529.23

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Solution

The fourth proportional to 892.17, 1,339.79 and 529.23 is: 794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.17 : 1,339.79 = 529.23 : x
  2. Step 2: Convert to fraction form
    892.17/1,339.79 = 529.23/x
  3. Step 3: Cross multiply
    892.17x = 1,339.79 × 529.23
  4. Step 4: Simplify right side
    892.17x = 709,054.42
  5. Step 5: Solve for x
    x = 709,054.42/892.17
  6. Step 6: Final answer
    x = 794.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.