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Finding the Fourth Proportional to 976.32, 1,466.76 and 611.37

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Solution

The fourth proportional to 976.32, 1,466.76 and 611.37 is: 918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,466.76 = 611.37 : x
  2. Step 2: Convert to fraction form
    976.32/1,466.76 = 611.37/x
  3. Step 3: Cross multiply
    976.32x = 1,466.76 × 611.37
  4. Step 4: Simplify right side
    976.32x = 896,733.06
  5. Step 5: Solve for x
    x = 896,733.06/976.32
  6. Step 6: Final answer
    x = 918.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.