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Finding the Fourth Proportional to 695.23, 1,042.83 and 464.56

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Solution

The fourth proportional to 695.23, 1,042.83 and 464.56 is: 696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.23 : 1,042.83 = 464.56 : x
  2. Step 2: Convert to fraction form
    695.23/1,042.83 = 464.56/x
  3. Step 3: Cross multiply
    695.23x = 1,042.83 × 464.56
  4. Step 4: Simplify right side
    695.23x = 484,454.50
  5. Step 5: Solve for x
    x = 484,454.50/695.23
  6. Step 6: Final answer
    x = 696.83

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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.