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Finding the Fourth Proportional to 881.16, 1,216.05 and 586.23

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Solution

The fourth proportional to 881.16, 1,216.05 and 586.23 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.16 : 1,216.05 = 586.23 : x
  2. Step 2: Convert to fraction form
    881.16/1,216.05 = 586.23/x
  3. Step 3: Cross multiply
    881.16x = 1,216.05 × 586.23
  4. Step 4: Simplify right side
    881.16x = 712,884.99
  5. Step 5: Solve for x
    x = 712,884.99/881.16
  6. Step 6: Final answer
    x = 809.03

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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.