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Finding the Fourth Proportional to 857.36, 1,183.16 and 503.49

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Solution

The fourth proportional to 857.36, 1,183.16 and 503.49 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.36 : 1,183.16 = 503.49 : x
  2. Step 2: Convert to fraction form
    857.36/1,183.16 = 503.49/x
  3. Step 3: Cross multiply
    857.36x = 1,183.16 × 503.49
  4. Step 4: Simplify right side
    857.36x = 595,709.23
  5. Step 5: Solve for x
    x = 595,709.23/857.36
  6. Step 6: Final answer
    x = 694.82

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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.