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Finding the Fourth Proportional to 956.59, 1,434.85 and 263.26

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Solution

The fourth proportional to 956.59, 1,434.85 and 263.26 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.59 : 1,434.85 = 263.26 : x
  2. Step 2: Convert to fraction form
    956.59/1,434.85 = 263.26/x
  3. Step 3: Cross multiply
    956.59x = 1,434.85 × 263.26
  4. Step 4: Simplify right side
    956.59x = 377,735.71
  5. Step 5: Solve for x
    x = 377,735.71/956.59
  6. Step 6: Final answer
    x = 394.88

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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.