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Finding the Fourth Proportional to 857.23, 1,183.42 and 542.82

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Solution

The fourth proportional to 857.23, 1,183.42 and 542.82 is: 749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,183.42 = 542.82 : x
  2. Step 2: Convert to fraction form
    857.23/1,183.42 = 542.82/x
  3. Step 3: Cross multiply
    857.23x = 1,183.42 × 542.82
  4. Step 4: Simplify right side
    857.23x = 642,381.67
  5. Step 5: Solve for x
    x = 642,381.67/857.23
  6. Step 6: Final answer
    x = 749.37

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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.