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Finding the Fourth Proportional to 1,209.39, 1,814.13 and 343.77

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Solution

The fourth proportional to 1,209.39, 1,814.13 and 343.77 is: 515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.39 : 1,814.13 = 343.77 : x
  2. Step 2: Convert to fraction form
    1,209.39/1,814.13 = 343.77/x
  3. Step 3: Cross multiply
    1,209.39x = 1,814.13 × 343.77
  4. Step 4: Simplify right side
    1,209.39x = 623,643.47
  5. Step 5: Solve for x
    x = 623,643.47/1,209.39
  6. Step 6: Final answer
    x = 515.67

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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.