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Finding the Fourth Proportional to 857.66, 1,183.75 and 526.16

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Solution

The fourth proportional to 857.66, 1,183.75 and 526.16 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,183.75 = 526.16 : x
  2. Step 2: Convert to fraction form
    857.66/1,183.75 = 526.16/x
  3. Step 3: Cross multiply
    857.66x = 1,183.75 × 526.16
  4. Step 4: Simplify right side
    857.66x = 622,843.54
  5. Step 5: Solve for x
    x = 622,843.54/857.66
  6. Step 6: Final answer
    x = 726.22

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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.