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Finding the Fourth Proportional to 695.80, 1,043.55 and 402.68

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Solution

The fourth proportional to 695.80, 1,043.55 and 402.68 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.80 : 1,043.55 = 402.68 : x
  2. Step 2: Convert to fraction form
    695.80/1,043.55 = 402.68/x
  3. Step 3: Cross multiply
    695.80x = 1,043.55 × 402.68
  4. Step 4: Simplify right side
    695.80x = 420,216.71
  5. Step 5: Solve for x
    x = 420,216.71/695.80
  6. Step 6: Final answer
    x = 603.93

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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.