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Finding the Fourth Proportional to 857.66, 1,183.14 and 577.53

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Solution

The fourth proportional to 857.66, 1,183.14 and 577.53 is: 796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,183.14 = 577.53 : x
  2. Step 2: Convert to fraction form
    857.66/1,183.14 = 577.53/x
  3. Step 3: Cross multiply
    857.66x = 1,183.14 × 577.53
  4. Step 4: Simplify right side
    857.66x = 683,298.84
  5. Step 5: Solve for x
    x = 683,298.84/857.66
  6. Step 6: Final answer
    x = 796.71

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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.