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Finding the Fourth Proportional to 695.43, 1,043.57 and 403.50

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Solution

The fourth proportional to 695.43, 1,043.57 and 403.50 is: 605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.43 : 1,043.57 = 403.50 : x
  2. Step 2: Convert to fraction form
    695.43/1,043.57 = 403.50/x
  3. Step 3: Cross multiply
    695.43x = 1,043.57 × 403.50
  4. Step 4: Simplify right side
    695.43x = 421,078.48
  5. Step 5: Solve for x
    x = 421,078.48/695.43
  6. Step 6: Final answer
    x = 605.49

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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.