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Finding the Fourth Proportional to 1,209.26, 1,814.45 and 376.45

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Solution

The fourth proportional to 1,209.26, 1,814.45 and 376.45 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.26 : 1,814.45 = 376.45 : x
  2. Step 2: Convert to fraction form
    1,209.26/1,814.45 = 376.45/x
  3. Step 3: Cross multiply
    1,209.26x = 1,814.45 × 376.45
  4. Step 4: Simplify right side
    1,209.26x = 683,045.40
  5. Step 5: Solve for x
    x = 683,045.40/1,209.26
  6. Step 6: Final answer
    x = 564.85

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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.