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Finding the Fourth Proportional to 971.54, 1,456.34 and 386.34

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Solution

The fourth proportional to 971.54, 1,456.34 and 386.34 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.54 : 1,456.34 = 386.34 : x
  2. Step 2: Convert to fraction form
    971.54/1,456.34 = 386.34/x
  3. Step 3: Cross multiply
    971.54x = 1,456.34 × 386.34
  4. Step 4: Simplify right side
    971.54x = 562,640.46
  5. Step 5: Solve for x
    x = 562,640.46/971.54
  6. Step 6: Final answer
    x = 579.13

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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.