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Finding the Fourth Proportional to 872.58, 1,203.21 and 592.86

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Solution

The fourth proportional to 872.58, 1,203.21 and 592.86 is: 817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.58 : 1,203.21 = 592.86 : x
  2. Step 2: Convert to fraction form
    872.58/1,203.21 = 592.86/x
  3. Step 3: Cross multiply
    872.58x = 1,203.21 × 592.86
  4. Step 4: Simplify right side
    872.58x = 713,335.08
  5. Step 5: Solve for x
    x = 713,335.08/872.58
  6. Step 6: Final answer
    x = 817.50

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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.