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Finding the Fourth Proportional to 971.05, 1,456.65 and 277.78

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Solution

The fourth proportional to 971.05, 1,456.65 and 277.78 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.05 : 1,456.65 = 277.78 : x
  2. Step 2: Convert to fraction form
    971.05/1,456.65 = 277.78/x
  3. Step 3: Cross multiply
    971.05x = 1,456.65 × 277.78
  4. Step 4: Simplify right side
    971.05x = 404,628.24
  5. Step 5: Solve for x
    x = 404,628.24/971.05
  6. Step 6: Final answer
    x = 416.69

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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.