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Finding the Fourth Proportional to 872.09, 1,203.46 and 473.74

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Solution

The fourth proportional to 872.09, 1,203.46 and 473.74 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.09 : 1,203.46 = 473.74 : x
  2. Step 2: Convert to fraction form
    872.09/1,203.46 = 473.74/x
  3. Step 3: Cross multiply
    872.09x = 1,203.46 × 473.74
  4. Step 4: Simplify right side
    872.09x = 570,129.00
  5. Step 5: Solve for x
    x = 570,129.00/872.09
  6. Step 6: Final answer
    x = 653.75

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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.