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Finding the Fourth Proportional to 971.92, 1,448.06 and 925.48

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Solution

The fourth proportional to 971.92, 1,448.06 and 925.48 is: 1,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,448.06 = 925.48 : x
  2. Step 2: Convert to fraction form
    971.92/1,448.06 = 925.48/x
  3. Step 3: Cross multiply
    971.92x = 1,448.06 × 925.48
  4. Step 4: Simplify right side
    971.92x = 1,340,138.70
  5. Step 5: Solve for x
    x = 1,340,138.70/971.92
  6. Step 6: Final answer
    x = 1,378.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.