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Finding the Fourth Proportional to 937.83, 1,406.77 and 288.56

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Solution

The fourth proportional to 937.83, 1,406.77 and 288.56 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,406.77 = 288.56 : x
  2. Step 2: Convert to fraction form
    937.83/1,406.77 = 288.56/x
  3. Step 3: Cross multiply
    937.83x = 1,406.77 × 288.56
  4. Step 4: Simplify right side
    937.83x = 405,940.35
  5. Step 5: Solve for x
    x = 405,940.35/937.83
  6. Step 6: Final answer
    x = 432.85

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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.