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Finding the Fourth Proportional to 695.37, 1,043.25 and 278.94

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Solution

The fourth proportional to 695.37, 1,043.25 and 278.94 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.37 : 1,043.25 = 278.94 : x
  2. Step 2: Convert to fraction form
    695.37/1,043.25 = 278.94/x
  3. Step 3: Cross multiply
    695.37x = 1,043.25 × 278.94
  4. Step 4: Simplify right side
    695.37x = 291,007.02
  5. Step 5: Solve for x
    x = 291,007.02/695.37
  6. Step 6: Final answer
    x = 418.49

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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.