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Finding the Fourth Proportional to 800.74, 1,102.26 and 697.06

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Solution

The fourth proportional to 800.74, 1,102.26 and 697.06 is: 959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.74 : 1,102.26 = 697.06 : x
  2. Step 2: Convert to fraction form
    800.74/1,102.26 = 697.06/x
  3. Step 3: Cross multiply
    800.74x = 1,102.26 × 697.06
  4. Step 4: Simplify right side
    800.74x = 768,341.36
  5. Step 5: Solve for x
    x = 768,341.36/800.74
  6. Step 6: Final answer
    x = 959.54

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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.