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Finding the Fourth Proportional to 796.76, 1,100.03 and 649.74

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Solution

The fourth proportional to 796.76, 1,100.03 and 649.74 is: 897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.76 : 1,100.03 = 649.74 : x
  2. Step 2: Convert to fraction form
    796.76/1,100.03 = 649.74/x
  3. Step 3: Cross multiply
    796.76x = 1,100.03 × 649.74
  4. Step 4: Simplify right side
    796.76x = 714,733.49
  5. Step 5: Solve for x
    x = 714,733.49/796.76
  6. Step 6: Final answer
    x = 897.05

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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.