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Finding the Fourth Proportional to 852.26, 1,176.14 and 502.94

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Solution

The fourth proportional to 852.26, 1,176.14 and 502.94 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.26 : 1,176.14 = 502.94 : x
  2. Step 2: Convert to fraction form
    852.26/1,176.14 = 502.94/x
  3. Step 3: Cross multiply
    852.26x = 1,176.14 × 502.94
  4. Step 4: Simplify right side
    852.26x = 591,527.85
  5. Step 5: Solve for x
    x = 591,527.85/852.26
  6. Step 6: Final answer
    x = 694.07

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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.