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Finding the Fourth Proportional to 956.87, 1,435.34 and 263.54

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Solution

The fourth proportional to 956.87, 1,435.34 and 263.54 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.87 : 1,435.34 = 263.54 : x
  2. Step 2: Convert to fraction form
    956.87/1,435.34 = 263.54/x
  3. Step 3: Cross multiply
    956.87x = 1,435.34 × 263.54
  4. Step 4: Simplify right side
    956.87x = 378,262.00
  5. Step 5: Solve for x
    x = 378,262.00/956.87
  6. Step 6: Final answer
    x = 395.31

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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.