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Finding the Fourth Proportional to 956.92, 1,435.59 and 379.78

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Solution

The fourth proportional to 956.92, 1,435.59 and 379.78 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.92 : 1,435.59 = 379.78 : x
  2. Step 2: Convert to fraction form
    956.92/1,435.59 = 379.78/x
  3. Step 3: Cross multiply
    956.92x = 1,435.59 × 379.78
  4. Step 4: Simplify right side
    956.92x = 545,208.37
  5. Step 5: Solve for x
    x = 545,208.37/956.92
  6. Step 6: Final answer
    x = 569.75

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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.