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Finding the Fourth Proportional to 1,206.54, 1,809.89 and 415.95

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Solution

The fourth proportional to 1,206.54, 1,809.89 and 415.95 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.54 : 1,809.89 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,206.54/1,809.89 = 415.95/x
  3. Step 3: Cross multiply
    1,206.54x = 1,809.89 × 415.95
  4. Step 4: Simplify right side
    1,206.54x = 752,812.62
  5. Step 5: Solve for x
    x = 752,812.62/1,206.54
  6. Step 6: Final answer
    x = 623.94

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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.