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Finding the Fourth Proportional to 1,212.62, 1,818.95 and 482.39

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Solution

The fourth proportional to 1,212.62, 1,818.95 and 482.39 is: 723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.62 : 1,818.95 = 482.39 : x
  2. Step 2: Convert to fraction form
    1,212.62/1,818.95 = 482.39/x
  3. Step 3: Cross multiply
    1,212.62x = 1,818.95 × 482.39
  4. Step 4: Simplify right side
    1,212.62x = 877,431.78
  5. Step 5: Solve for x
    x = 877,431.78/1,212.62
  6. Step 6: Final answer
    x = 723.58

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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.