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Finding the Fourth Proportional to 1,289.05, 1,933.68 and 364.59

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Solution

The fourth proportional to 1,289.05, 1,933.68 and 364.59 is: 546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.05 : 1,933.68 = 364.59 : x
  2. Step 2: Convert to fraction form
    1,289.05/1,933.68 = 364.59/x
  3. Step 3: Cross multiply
    1,289.05x = 1,933.68 × 364.59
  4. Step 4: Simplify right side
    1,289.05x = 705,004.31
  5. Step 5: Solve for x
    x = 705,004.31/1,289.05
  6. Step 6: Final answer
    x = 546.92

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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.