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Finding the Fourth Proportional to 872.13, 1,203.74 and 592.83

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Solution

The fourth proportional to 872.13, 1,203.74 and 592.83 is: 818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.13 : 1,203.74 = 592.83 : x
  2. Step 2: Convert to fraction form
    872.13/1,203.74 = 592.83/x
  3. Step 3: Cross multiply
    872.13x = 1,203.74 × 592.83
  4. Step 4: Simplify right side
    872.13x = 713,613.18
  5. Step 5: Solve for x
    x = 713,613.18/872.13
  6. Step 6: Final answer
    x = 818.24

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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.