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Finding the Fourth Proportional to 1,206.50, 1,809.75 and 294.50

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Solution

The fourth proportional to 1,206.50, 1,809.75 and 294.50 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.50 : 1,809.75 = 294.50 : x
  2. Step 2: Convert to fraction form
    1,206.50/1,809.75 = 294.50/x
  3. Step 3: Cross multiply
    1,206.50x = 1,809.75 × 294.50
  4. Step 4: Simplify right side
    1,206.50x = 532,971.38
  5. Step 5: Solve for x
    x = 532,971.38/1,206.50
  6. Step 6: Final answer
    x = 441.75

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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.