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Finding the Fourth Proportional to 1,288.85, 1,933.02 and 364.17

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Solution

The fourth proportional to 1,288.85, 1,933.02 and 364.17 is: 546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.85 : 1,933.02 = 364.17 : x
  2. Step 2: Convert to fraction form
    1,288.85/1,933.02 = 364.17/x
  3. Step 3: Cross multiply
    1,288.85x = 1,933.02 × 364.17
  4. Step 4: Simplify right side
    1,288.85x = 703,947.89
  5. Step 5: Solve for x
    x = 703,947.89/1,288.85
  6. Step 6: Final answer
    x = 546.19

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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.