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Finding the Fourth Proportional to 1,047.91, 1,446.37 and 606.06

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Solution

The fourth proportional to 1,047.91, 1,446.37 and 606.06 is: 836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.91 : 1,446.37 = 606.06 : x
  2. Step 2: Convert to fraction form
    1,047.91/1,446.37 = 606.06/x
  3. Step 3: Cross multiply
    1,047.91x = 1,446.37 × 606.06
  4. Step 4: Simplify right side
    1,047.91x = 876,589.86
  5. Step 5: Solve for x
    x = 876,589.86/1,047.91
  6. Step 6: Final answer
    x = 836.52

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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.