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Finding the Fourth Proportional to 885.69, 1,222.07 and 591.80

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Solution

The fourth proportional to 885.69, 1,222.07 and 591.80 is: 816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.69 : 1,222.07 = 591.80 : x
  2. Step 2: Convert to fraction form
    885.69/1,222.07 = 591.80/x
  3. Step 3: Cross multiply
    885.69x = 1,222.07 × 591.80
  4. Step 4: Simplify right side
    885.69x = 723,211.96
  5. Step 5: Solve for x
    x = 723,211.96/885.69
  6. Step 6: Final answer
    x = 816.55

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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.