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Finding the Fourth Proportional to 839.11, 1,157.82 and 503.02

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Solution

The fourth proportional to 839.11, 1,157.82 and 503.02 is: 694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.11 : 1,157.82 = 503.02 : x
  2. Step 2: Convert to fraction form
    839.11/1,157.82 = 503.02/x
  3. Step 3: Cross multiply
    839.11x = 1,157.82 × 503.02
  4. Step 4: Simplify right side
    839.11x = 582,406.62
  5. Step 5: Solve for x
    x = 582,406.62/839.11
  6. Step 6: Final answer
    x = 694.08

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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.