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Finding the Fourth Proportional to 885.12, 1,221.30 and 589.86

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Solution

The fourth proportional to 885.12, 1,221.30 and 589.86 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.12 : 1,221.30 = 589.86 : x
  2. Step 2: Convert to fraction form
    885.12/1,221.30 = 589.86/x
  3. Step 3: Cross multiply
    885.12x = 1,221.30 × 589.86
  4. Step 4: Simplify right side
    885.12x = 720,396.02
  5. Step 5: Solve for x
    x = 720,396.02/885.12
  6. Step 6: Final answer
    x = 813.90

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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.