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Finding the Fourth Proportional to 858.66, 1,181.34 and 661.83

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Solution

The fourth proportional to 858.66, 1,181.34 and 661.83 is: 910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.66 : 1,181.34 = 661.83 : x
  2. Step 2: Convert to fraction form
    858.66/1,181.34 = 661.83/x
  3. Step 3: Cross multiply
    858.66x = 1,181.34 × 661.83
  4. Step 4: Simplify right side
    858.66x = 781,846.25
  5. Step 5: Solve for x
    x = 781,846.25/858.66
  6. Step 6: Final answer
    x = 910.54

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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.