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Finding the Fourth Proportional to 976, 1,460.34 and 609.07

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Solution

The fourth proportional to 976, 1,460.34 and 609.07 is: 911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,460.34 = 609.07 : x
  2. Step 2: Convert to fraction form
    976/1,460.34 = 609.07/x
  3. Step 3: Cross multiply
    976x = 1,460.34 × 609.07
  4. Step 4: Simplify right side
    976x = 889,449.28
  5. Step 5: Solve for x
    x = 889,449.28/976
  6. Step 6: Final answer
    x = 911.32

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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.