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Finding the Fourth Proportional to 908.70, 1,254.04 and 576.86

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Solution

The fourth proportional to 908.70, 1,254.04 and 576.86 is: 796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.70 : 1,254.04 = 576.86 : x
  2. Step 2: Convert to fraction form
    908.70/1,254.04 = 576.86/x
  3. Step 3: Cross multiply
    908.70x = 1,254.04 × 576.86
  4. Step 4: Simplify right side
    908.70x = 723,405.51
  5. Step 5: Solve for x
    x = 723,405.51/908.70
  6. Step 6: Final answer
    x = 796.09

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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.