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Finding the Fourth Proportional to 976.22, 1,462.88 and 904.22

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Solution

The fourth proportional to 976.22, 1,462.88 and 904.22 is: 1,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,462.88 = 904.22 : x
  2. Step 2: Convert to fraction form
    976.22/1,462.88 = 904.22/x
  3. Step 3: Cross multiply
    976.22x = 1,462.88 × 904.22
  4. Step 4: Simplify right side
    976.22x = 1,322,765.35
  5. Step 5: Solve for x
    x = 1,322,765.35/976.22
  6. Step 6: Final answer
    x = 1,354.99

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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.