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Finding the Fourth Proportional to 874.16, 1,206.35 and 481.17

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Solution

The fourth proportional to 874.16, 1,206.35 and 481.17 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.16 : 1,206.35 = 481.17 : x
  2. Step 2: Convert to fraction form
    874.16/1,206.35 = 481.17/x
  3. Step 3: Cross multiply
    874.16x = 1,206.35 × 481.17
  4. Step 4: Simplify right side
    874.16x = 580,457.02
  5. Step 5: Solve for x
    x = 580,457.02/874.16
  6. Step 6: Final answer
    x = 664.02

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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.