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Finding the Fourth Proportional to 976.74, 1,346.67 and 640.59

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Solution

The fourth proportional to 976.74, 1,346.67 and 640.59 is: 883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.74 : 1,346.67 = 640.59 : x
  2. Step 2: Convert to fraction form
    976.74/1,346.67 = 640.59/x
  3. Step 3: Cross multiply
    976.74x = 1,346.67 × 640.59
  4. Step 4: Simplify right side
    976.74x = 862,663.34
  5. Step 5: Solve for x
    x = 862,663.34/976.74
  6. Step 6: Final answer
    x = 883.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.