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Finding the Fourth Proportional to 976.43, 1,463.70 and 391.07

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Solution

The fourth proportional to 976.43, 1,463.70 and 391.07 is: 586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.43 : 1,463.70 = 391.07 : x
  2. Step 2: Convert to fraction form
    976.43/1,463.70 = 391.07/x
  3. Step 3: Cross multiply
    976.43x = 1,463.70 × 391.07
  4. Step 4: Simplify right side
    976.43x = 572,409.16
  5. Step 5: Solve for x
    x = 572,409.16/976.43
  6. Step 6: Final answer
    x = 586.23

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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.