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Finding the Fourth Proportional to 695.84, 1,043.23 and 421.86

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Solution

The fourth proportional to 695.84, 1,043.23 and 421.86 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.84 : 1,043.23 = 421.86 : x
  2. Step 2: Convert to fraction form
    695.84/1,043.23 = 421.86/x
  3. Step 3: Cross multiply
    695.84x = 1,043.23 × 421.86
  4. Step 4: Simplify right side
    695.84x = 440,097.01
  5. Step 5: Solve for x
    x = 440,097.01/695.84
  6. Step 6: Final answer
    x = 632.47

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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.