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Finding the Fourth Proportional to 881.41, 1,322.41 and 590.08

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Solution

The fourth proportional to 881.41, 1,322.41 and 590.08 is: 885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.41 : 1,322.41 = 590.08 : x
  2. Step 2: Convert to fraction form
    881.41/1,322.41 = 590.08/x
  3. Step 3: Cross multiply
    881.41x = 1,322.41 × 590.08
  4. Step 4: Simplify right side
    881.41x = 780,327.69
  5. Step 5: Solve for x
    x = 780,327.69/881.41
  6. Step 6: Final answer
    x = 885.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.