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Finding the Fourth Proportional to 857.06, 1,183.10 and 562.80

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Solution

The fourth proportional to 857.06, 1,183.10 and 562.80 is: 776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,183.10 = 562.80 : x
  2. Step 2: Convert to fraction form
    857.06/1,183.10 = 562.80/x
  3. Step 3: Cross multiply
    857.06x = 1,183.10 × 562.80
  4. Step 4: Simplify right side
    857.06x = 665,845.87
  5. Step 5: Solve for x
    x = 665,845.87/857.06
  6. Step 6: Final answer
    x = 776.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.