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Finding the Fourth Proportional to 852.11, 1,278.47 and 505.83

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Solution

The fourth proportional to 852.11, 1,278.47 and 505.83 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.11 : 1,278.47 = 505.83 : x
  2. Step 2: Convert to fraction form
    852.11/1,278.47 = 505.83/x
  3. Step 3: Cross multiply
    852.11x = 1,278.47 × 505.83
  4. Step 4: Simplify right side
    852.11x = 646,688.48
  5. Step 5: Solve for x
    x = 646,688.48/852.11
  6. Step 6: Final answer
    x = 758.93

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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.