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Finding the Fourth Proportional to 695.68, 1,043.94 and 403.75

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Solution

The fourth proportional to 695.68, 1,043.94 and 403.75 is: 605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.68 : 1,043.94 = 403.75 : x
  2. Step 2: Convert to fraction form
    695.68/1,043.94 = 403.75/x
  3. Step 3: Cross multiply
    695.68x = 1,043.94 × 403.75
  4. Step 4: Simplify right side
    695.68x = 421,488.17
  5. Step 5: Solve for x
    x = 421,488.17/695.68
  6. Step 6: Final answer
    x = 605.87

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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.