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Finding the Fourth Proportional to 852.04, 1,276.62 and 527.08

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Solution

The fourth proportional to 852.04, 1,276.62 and 527.08 is: 789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,276.62 = 527.08 : x
  2. Step 2: Convert to fraction form
    852.04/1,276.62 = 527.08/x
  3. Step 3: Cross multiply
    852.04x = 1,276.62 × 527.08
  4. Step 4: Simplify right side
    852.04x = 672,880.87
  5. Step 5: Solve for x
    x = 672,880.87/852.04
  6. Step 6: Final answer
    x = 789.73

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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.