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Finding the Fourth Proportional to 1,214.23, 1,819.50 and 483.43

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Solution

The fourth proportional to 1,214.23, 1,819.50 and 483.43 is: 724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.23 : 1,819.50 = 483.43 : x
  2. Step 2: Convert to fraction form
    1,214.23/1,819.50 = 483.43/x
  3. Step 3: Cross multiply
    1,214.23x = 1,819.50 × 483.43
  4. Step 4: Simplify right side
    1,214.23x = 879,600.89
  5. Step 5: Solve for x
    x = 879,600.89/1,214.23
  6. Step 6: Final answer
    x = 724.41

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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.