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Finding the Fourth Proportional to 834.24, 1,151.09 and 502.69

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Solution

The fourth proportional to 834.24, 1,151.09 and 502.69 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,151.09 = 502.69 : x
  2. Step 2: Convert to fraction form
    834.24/1,151.09 = 502.69/x
  3. Step 3: Cross multiply
    834.24x = 1,151.09 × 502.69
  4. Step 4: Simplify right side
    834.24x = 578,644.13
  5. Step 5: Solve for x
    x = 578,644.13/834.24
  6. Step 6: Final answer
    x = 693.62

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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.