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Finding the Fourth Proportional to 869.05, 1,301.41 and 502.66

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Solution

The fourth proportional to 869.05, 1,301.41 and 502.66 is: 752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.05 : 1,301.41 = 502.66 : x
  2. Step 2: Convert to fraction form
    869.05/1,301.41 = 502.66/x
  3. Step 3: Cross multiply
    869.05x = 1,301.41 × 502.66
  4. Step 4: Simplify right side
    869.05x = 654,166.75
  5. Step 5: Solve for x
    x = 654,166.75/869.05
  6. Step 6: Final answer
    x = 752.74

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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.