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Finding the Fourth Proportional to 1,288.50, 1,933.07 and 376.50

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Solution

The fourth proportional to 1,288.50, 1,933.07 and 376.50 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.50 : 1,933.07 = 376.50 : x
  2. Step 2: Convert to fraction form
    1,288.50/1,933.07 = 376.50/x
  3. Step 3: Cross multiply
    1,288.50x = 1,933.07 × 376.50
  4. Step 4: Simplify right side
    1,288.50x = 727,800.86
  5. Step 5: Solve for x
    x = 727,800.86/1,288.50
  6. Step 6: Final answer
    x = 564.84

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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.