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Finding the Fourth Proportional to 695.69, 1,043.96 and 263.15

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Solution

The fourth proportional to 695.69, 1,043.96 and 263.15 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.69 : 1,043.96 = 263.15 : x
  2. Step 2: Convert to fraction form
    695.69/1,043.96 = 263.15/x
  3. Step 3: Cross multiply
    695.69x = 1,043.96 × 263.15
  4. Step 4: Simplify right side
    695.69x = 274,718.07
  5. Step 5: Solve for x
    x = 274,718.07/695.69
  6. Step 6: Final answer
    x = 394.89

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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.