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Finding the Fourth Proportional to 892.14, 1,338.50 and 527.02

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Solution

The fourth proportional to 892.14, 1,338.50 and 527.02 is: 790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,338.50 = 527.02 : x
  2. Step 2: Convert to fraction form
    892.14/1,338.50 = 527.02/x
  3. Step 3: Cross multiply
    892.14x = 1,338.50 × 527.02
  4. Step 4: Simplify right side
    892.14x = 705,416.27
  5. Step 5: Solve for x
    x = 705,416.27/892.14
  6. Step 6: Final answer
    x = 790.70

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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.