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Finding the Fourth Proportional to 797.06, 1,096.86 and 735.50

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Solution

The fourth proportional to 797.06, 1,096.86 and 735.50 is: 1,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.06 : 1,096.86 = 735.50 : x
  2. Step 2: Convert to fraction form
    797.06/1,096.86 = 735.50/x
  3. Step 3: Cross multiply
    797.06x = 1,096.86 × 735.50
  4. Step 4: Simplify right side
    797.06x = 806,740.53
  5. Step 5: Solve for x
    x = 806,740.53/797.06
  6. Step 6: Final answer
    x = 1,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.