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Finding the Fourth Proportional to 857.49, 1,183.04 and 562.92

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Solution

The fourth proportional to 857.49, 1,183.04 and 562.92 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,183.04 = 562.92 : x
  2. Step 2: Convert to fraction form
    857.49/1,183.04 = 562.92/x
  3. Step 3: Cross multiply
    857.49x = 1,183.04 × 562.92
  4. Step 4: Simplify right side
    857.49x = 665,954.06
  5. Step 5: Solve for x
    x = 665,954.06/857.49
  6. Step 6: Final answer
    x = 776.63

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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.