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Finding the Fourth Proportional to 848.53, 1,269.28 and 796.69

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Solution

The fourth proportional to 848.53, 1,269.28 and 796.69 is: 1,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.53 : 1,269.28 = 796.69 : x
  2. Step 2: Convert to fraction form
    848.53/1,269.28 = 796.69/x
  3. Step 3: Cross multiply
    848.53x = 1,269.28 × 796.69
  4. Step 4: Simplify right side
    848.53x = 1,011,220.51
  5. Step 5: Solve for x
    x = 1,011,220.51/848.53
  6. Step 6: Final answer
    x = 1,191.74

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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.