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Finding the Fourth Proportional to 1,289.41, 1,933.83 and 364.76

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Solution

The fourth proportional to 1,289.41, 1,933.83 and 364.76 is: 547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.41 : 1,933.83 = 364.76 : x
  2. Step 2: Convert to fraction form
    1,289.41/1,933.83 = 364.76/x
  3. Step 3: Cross multiply
    1,289.41x = 1,933.83 × 364.76
  4. Step 4: Simplify right side
    1,289.41x = 705,381.41
  5. Step 5: Solve for x
    x = 705,381.41/1,289.41
  6. Step 6: Final answer
    x = 547.06

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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.