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Finding the Fourth Proportional to 872.55, 1,203.66 and 592.79

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Solution

The fourth proportional to 872.55, 1,203.66 and 592.79 is: 817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.55 : 1,203.66 = 592.79 : x
  2. Step 2: Convert to fraction form
    872.55/1,203.66 = 592.79/x
  3. Step 3: Cross multiply
    872.55x = 1,203.66 × 592.79
  4. Step 4: Simplify right side
    872.55x = 713,511.59
  5. Step 5: Solve for x
    x = 713,511.59/872.55
  6. Step 6: Final answer
    x = 817.73

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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.