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Finding the Fourth Proportional to 1,219.39, 1,829.12 and 353.77

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Solution

The fourth proportional to 1,219.39, 1,829.12 and 353.77 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.39 : 1,829.12 = 353.77 : x
  2. Step 2: Convert to fraction form
    1,219.39/1,829.12 = 353.77/x
  3. Step 3: Cross multiply
    1,219.39x = 1,829.12 × 353.77
  4. Step 4: Simplify right side
    1,219.39x = 647,087.78
  5. Step 5: Solve for x
    x = 647,087.78/1,219.39
  6. Step 6: Final answer
    x = 530.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.