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Finding the Fourth Proportional to 777.39, 1,077.42 and 762.81

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Solution

The fourth proportional to 777.39, 1,077.42 and 762.81 is: 1,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.39 : 1,077.42 = 762.81 : x
  2. Step 2: Convert to fraction form
    777.39/1,077.42 = 762.81/x
  3. Step 3: Cross multiply
    777.39x = 1,077.42 × 762.81
  4. Step 4: Simplify right side
    777.39x = 821,866.75
  5. Step 5: Solve for x
    x = 821,866.75/777.39
  6. Step 6: Final answer
    x = 1,057.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.