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Finding the Fourth Proportional to 857.00, 1,183.25 and 562.77

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Solution

The fourth proportional to 857.00, 1,183.25 and 562.77 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.00 : 1,183.25 = 562.77 : x
  2. Step 2: Convert to fraction form
    857.00/1,183.25 = 562.77/x
  3. Step 3: Cross multiply
    857.00x = 1,183.25 × 562.77
  4. Step 4: Simplify right side
    857.00x = 665,899.01
  5. Step 5: Solve for x
    x = 665,899.01/857.00
  6. Step 6: Final answer
    x = 777.01

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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.