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Finding the Fourth Proportional to 971.01, 1,462.32 and 817.92

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Solution

The fourth proportional to 971.01, 1,462.32 and 817.92 is: 1,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.01 : 1,462.32 = 817.92 : x
  2. Step 2: Convert to fraction form
    971.01/1,462.32 = 817.92/x
  3. Step 3: Cross multiply
    971.01x = 1,462.32 × 817.92
  4. Step 4: Simplify right side
    971.01x = 1,196,060.77
  5. Step 5: Solve for x
    x = 1,196,060.77/971.01
  6. Step 6: Final answer
    x = 1,231.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.