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Finding the Fourth Proportional to 881.09, 1,216.26 and 586.25

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Solution

The fourth proportional to 881.09, 1,216.26 and 586.25 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.09 : 1,216.26 = 586.25 : x
  2. Step 2: Convert to fraction form
    881.09/1,216.26 = 586.25/x
  3. Step 3: Cross multiply
    881.09x = 1,216.26 × 586.25
  4. Step 4: Simplify right side
    881.09x = 713,026.34
  5. Step 5: Solve for x
    x = 713,026.34/881.09
  6. Step 6: Final answer
    x = 809.26

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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.