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Finding the Fourth Proportional to 971.92, 1,458.24 and 484.96

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Solution

The fourth proportional to 971.92, 1,458.24 and 484.96 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,458.24 = 484.96 : x
  2. Step 2: Convert to fraction form
    971.92/1,458.24 = 484.96/x
  3. Step 3: Cross multiply
    971.92x = 1,458.24 × 484.96
  4. Step 4: Simplify right side
    971.92x = 707,188.07
  5. Step 5: Solve for x
    x = 707,188.07/971.92
  6. Step 6: Final answer
    x = 727.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.