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Finding the Fourth Proportional to 697.92, 1,047.34 and 606.48

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Solution

The fourth proportional to 697.92, 1,047.34 and 606.48 is: 910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 1,047.34 = 606.48 : x
  2. Step 2: Convert to fraction form
    697.92/1,047.34 = 606.48/x
  3. Step 3: Cross multiply
    697.92x = 1,047.34 × 606.48
  4. Step 4: Simplify right side
    697.92x = 635,190.76
  5. Step 5: Solve for x
    x = 635,190.76/697.92
  6. Step 6: Final answer
    x = 910.12

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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.