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Finding the Fourth Proportional to 834.78, 1,151.92 and 503.08

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Solution

The fourth proportional to 834.78, 1,151.92 and 503.08 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.78 : 1,151.92 = 503.08 : x
  2. Step 2: Convert to fraction form
    834.78/1,151.92 = 503.08/x
  3. Step 3: Cross multiply
    834.78x = 1,151.92 × 503.08
  4. Step 4: Simplify right side
    834.78x = 579,507.91
  5. Step 5: Solve for x
    x = 579,507.91/834.78
  6. Step 6: Final answer
    x = 694.20

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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.