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Finding the Fourth Proportional to 971.06, 1,456.88 and 661.82

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Solution

The fourth proportional to 971.06, 1,456.88 and 661.82 is: 992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.06 : 1,456.88 = 661.82 : x
  2. Step 2: Convert to fraction form
    971.06/1,456.88 = 661.82/x
  3. Step 3: Cross multiply
    971.06x = 1,456.88 × 661.82
  4. Step 4: Simplify right side
    971.06x = 964,181.73
  5. Step 5: Solve for x
    x = 964,181.73/971.06
  6. Step 6: Final answer
    x = 992.92

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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.