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Finding the Fourth Proportional to 695.34, 1,043.01 and 284.03

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Solution

The fourth proportional to 695.34, 1,043.01 and 284.03 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 1,043.01 = 284.03 : x
  2. Step 2: Convert to fraction form
    695.34/1,043.01 = 284.03/x
  3. Step 3: Cross multiply
    695.34x = 1,043.01 × 284.03
  4. Step 4: Simplify right side
    695.34x = 296,240.92
  5. Step 5: Solve for x
    x = 296,240.92/695.34
  6. Step 6: Final answer
    x = 426.04

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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.