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Finding the Fourth Proportional to 881.56, 1,216.01 and 582.81

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Solution

The fourth proportional to 881.56, 1,216.01 and 582.81 is: 803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.56 : 1,216.01 = 582.81 : x
  2. Step 2: Convert to fraction form
    881.56/1,216.01 = 582.81/x
  3. Step 3: Cross multiply
    881.56x = 1,216.01 × 582.81
  4. Step 4: Simplify right side
    881.56x = 708,705.34
  5. Step 5: Solve for x
    x = 708,705.34/881.56
  6. Step 6: Final answer
    x = 803.92

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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.