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Finding the Fourth Proportional to 1,209.75, 1,814.63 and 297.75

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Solution

The fourth proportional to 1,209.75, 1,814.63 and 297.75 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.75 : 1,814.63 = 297.75 : x
  2. Step 2: Convert to fraction form
    1,209.75/1,814.63 = 297.75/x
  3. Step 3: Cross multiply
    1,209.75x = 1,814.63 × 297.75
  4. Step 4: Simplify right side
    1,209.75x = 540,304.59
  5. Step 5: Solve for x
    x = 540,304.59/1,209.75
  6. Step 6: Final answer
    x = 446.63

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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.