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Finding the Fourth Proportional to 872.15, 1,203.59 and 591.89

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Solution

The fourth proportional to 872.15, 1,203.59 and 591.89 is: 816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.15 : 1,203.59 = 591.89 : x
  2. Step 2: Convert to fraction form
    872.15/1,203.59 = 591.89/x
  3. Step 3: Cross multiply
    872.15x = 1,203.59 × 591.89
  4. Step 4: Simplify right side
    872.15x = 712,388.35
  5. Step 5: Solve for x
    x = 712,388.35/872.15
  6. Step 6: Final answer
    x = 816.82

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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.