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Finding the Fourth Proportional to 872.56, 1,204.14 and 479.56

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Solution

The fourth proportional to 872.56, 1,204.14 and 479.56 is: 661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.56 : 1,204.14 = 479.56 : x
  2. Step 2: Convert to fraction form
    872.56/1,204.14 = 479.56/x
  3. Step 3: Cross multiply
    872.56x = 1,204.14 × 479.56
  4. Step 4: Simplify right side
    872.56x = 577,457.38
  5. Step 5: Solve for x
    x = 577,457.38/872.56
  6. Step 6: Final answer
    x = 661.80

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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.