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Finding the Fourth Proportional to 872.32, 1,203.20 and 595.84

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Solution

The fourth proportional to 872.32, 1,203.20 and 595.84 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.32 : 1,203.20 = 595.84 : x
  2. Step 2: Convert to fraction form
    872.32/1,203.20 = 595.84/x
  3. Step 3: Cross multiply
    872.32x = 1,203.20 × 595.84
  4. Step 4: Simplify right side
    872.32x = 716,914.69
  5. Step 5: Solve for x
    x = 716,914.69/872.32
  6. Step 6: Final answer
    x = 821.85

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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.