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Finding the Fourth Proportional to 971.92, 1,456.45 and 605.59

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Solution

The fourth proportional to 971.92, 1,456.45 and 605.59 is: 907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,456.45 = 605.59 : x
  2. Step 2: Convert to fraction form
    971.92/1,456.45 = 605.59/x
  3. Step 3: Cross multiply
    971.92x = 1,456.45 × 605.59
  4. Step 4: Simplify right side
    971.92x = 882,011.56
  5. Step 5: Solve for x
    x = 882,011.56/971.92
  6. Step 6: Final answer
    x = 907.49

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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.