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Finding the Fourth Proportional to 857.48, 1,183.67 and 577.86

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Solution

The fourth proportional to 857.48, 1,183.67 and 577.86 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.48 : 1,183.67 = 577.86 : x
  2. Step 2: Convert to fraction form
    857.48/1,183.67 = 577.86/x
  3. Step 3: Cross multiply
    857.48x = 1,183.67 × 577.86
  4. Step 4: Simplify right side
    857.48x = 683,992.66
  5. Step 5: Solve for x
    x = 683,992.66/857.48
  6. Step 6: Final answer
    x = 797.68

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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.