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Finding the Fourth Proportional to 852.29, 1,176.17 and 502.97

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Solution

The fourth proportional to 852.29, 1,176.17 and 502.97 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.29 : 1,176.17 = 502.97 : x
  2. Step 2: Convert to fraction form
    852.29/1,176.17 = 502.97/x
  3. Step 3: Cross multiply
    852.29x = 1,176.17 × 502.97
  4. Step 4: Simplify right side
    852.29x = 591,575.71
  5. Step 5: Solve for x
    x = 591,575.71/852.29
  6. Step 6: Final answer
    x = 694.10

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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.