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Finding the Fourth Proportional to 885.37, 1,222.32 and 591.07

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Solution

The fourth proportional to 885.37, 1,222.32 and 591.07 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.37 : 1,222.32 = 591.07 : x
  2. Step 2: Convert to fraction form
    885.37/1,222.32 = 591.07/x
  3. Step 3: Cross multiply
    885.37x = 1,222.32 × 591.07
  4. Step 4: Simplify right side
    885.37x = 722,476.68
  5. Step 5: Solve for x
    x = 722,476.68/885.37
  6. Step 6: Final answer
    x = 816.02

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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.