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Finding the Fourth Proportional to 730.77, 1,093.05 and 678.24

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Solution

The fourth proportional to 730.77, 1,093.05 and 678.24 is: 1,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.77 : 1,093.05 = 678.24 : x
  2. Step 2: Convert to fraction form
    730.77/1,093.05 = 678.24/x
  3. Step 3: Cross multiply
    730.77x = 1,093.05 × 678.24
  4. Step 4: Simplify right side
    730.77x = 741,350.23
  5. Step 5: Solve for x
    x = 741,350.23/730.77
  6. Step 6: Final answer
    x = 1,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.