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Finding the Fourth Proportional to 857.73, 1,183.65 and 484.83

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Solution

The fourth proportional to 857.73, 1,183.65 and 484.83 is: 669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.73 : 1,183.65 = 484.83 : x
  2. Step 2: Convert to fraction form
    857.73/1,183.65 = 484.83/x
  3. Step 3: Cross multiply
    857.73x = 1,183.65 × 484.83
  4. Step 4: Simplify right side
    857.73x = 573,864.32
  5. Step 5: Solve for x
    x = 573,864.32/857.73
  6. Step 6: Final answer
    x = 669.05

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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.