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Finding the Fourth Proportional to 971.02, 1,456.78 and 386.06

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Solution

The fourth proportional to 971.02, 1,456.78 and 386.06 is: 579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.02 : 1,456.78 = 386.06 : x
  2. Step 2: Convert to fraction form
    971.02/1,456.78 = 386.06/x
  3. Step 3: Cross multiply
    971.02x = 1,456.78 × 386.06
  4. Step 4: Simplify right side
    971.02x = 562,404.49
  5. Step 5: Solve for x
    x = 562,404.49/971.02
  6. Step 6: Final answer
    x = 579.19

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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.