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Finding the Fourth Proportional to 834.35, 1,151.63 and 502.79

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Solution

The fourth proportional to 834.35, 1,151.63 and 502.79 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,151.63 = 502.79 : x
  2. Step 2: Convert to fraction form
    834.35/1,151.63 = 502.79/x
  3. Step 3: Cross multiply
    834.35x = 1,151.63 × 502.79
  4. Step 4: Simplify right side
    834.35x = 579,019.78
  5. Step 5: Solve for x
    x = 579,019.78/834.35
  6. Step 6: Final answer
    x = 693.98

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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.