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Finding the Fourth Proportional to 852.17, 1,176.24 and 502.97

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Solution

The fourth proportional to 852.17, 1,176.24 and 502.97 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.17 : 1,176.24 = 502.97 : x
  2. Step 2: Convert to fraction form
    852.17/1,176.24 = 502.97/x
  3. Step 3: Cross multiply
    852.17x = 1,176.24 × 502.97
  4. Step 4: Simplify right side
    852.17x = 591,613.43
  5. Step 5: Solve for x
    x = 591,613.43/852.17
  6. Step 6: Final answer
    x = 694.24

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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.