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Finding the Fourth Proportional to 945.83, 1,418.82 and 287.77

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Solution

The fourth proportional to 945.83, 1,418.82 and 287.77 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,418.82 = 287.77 : x
  2. Step 2: Convert to fraction form
    945.83/1,418.82 = 287.77/x
  3. Step 3: Cross multiply
    945.83x = 1,418.82 × 287.77
  4. Step 4: Simplify right side
    945.83x = 408,288.31
  5. Step 5: Solve for x
    x = 408,288.31/945.83
  6. Step 6: Final answer
    x = 431.67

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Why These Related Problems?

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