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Finding the Fourth Proportional to 857.82, 1,183.45 and 526.13

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Solution

The fourth proportional to 857.82, 1,183.45 and 526.13 is: 725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.82 : 1,183.45 = 526.13 : x
  2. Step 2: Convert to fraction form
    857.82/1,183.45 = 526.13/x
  3. Step 3: Cross multiply
    857.82x = 1,183.45 × 526.13
  4. Step 4: Simplify right side
    857.82x = 622,640.00
  5. Step 5: Solve for x
    x = 622,640.00/857.82
  6. Step 6: Final answer
    x = 725.84

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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.