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Finding the Fourth Proportional to 1,212.52, 1,806.58 and 1,200.38

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Solution

The fourth proportional to 1,212.52, 1,806.58 and 1,200.38 is: 1,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.52 : 1,806.58 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    1,212.52/1,806.58 = 1,200.38/x
  3. Step 3: Cross multiply
    1,212.52x = 1,806.58 × 1,200.38
  4. Step 4: Simplify right side
    1,212.52x = 2,168,582.50
  5. Step 5: Solve for x
    x = 2,168,582.50/1,212.52
  6. Step 6: Final answer
    x = 1,788.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.