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Finding the Fourth Proportional to 890.91, 1,337.00 and 313.79

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Solution

The fourth proportional to 890.91, 1,337.00 and 313.79 is: 470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.91 : 1,337.00 = 313.79 : x
  2. Step 2: Convert to fraction form
    890.91/1,337.00 = 313.79/x
  3. Step 3: Cross multiply
    890.91x = 1,337.00 × 313.79
  4. Step 4: Simplify right side
    890.91x = 419,528.98
  5. Step 5: Solve for x
    x = 419,528.98/890.91
  6. Step 6: Final answer
    x = 470.90

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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.