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Finding the Fourth Proportional to 695.75, 1,043.79 and 305.74

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Solution

The fourth proportional to 695.75, 1,043.79 and 305.74 is: 458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.75 : 1,043.79 = 305.74 : x
  2. Step 2: Convert to fraction form
    695.75/1,043.79 = 305.74/x
  3. Step 3: Cross multiply
    695.75x = 1,043.79 × 305.74
  4. Step 4: Simplify right side
    695.75x = 319,125.75
  5. Step 5: Solve for x
    x = 319,125.75/695.75
  6. Step 6: Final answer
    x = 458.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.