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Finding the Fourth Proportional to 1,212.39, 1,820.30 and 693.43

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Solution

The fourth proportional to 1,212.39, 1,820.30 and 693.43 is: 1,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.39 : 1,820.30 = 693.43 : x
  2. Step 2: Convert to fraction form
    1,212.39/1,820.30 = 693.43/x
  3. Step 3: Cross multiply
    1,212.39x = 1,820.30 × 693.43
  4. Step 4: Simplify right side
    1,212.39x = 1,262,250.63
  5. Step 5: Solve for x
    x = 1,262,250.63/1,212.39
  6. Step 6: Final answer
    x = 1,041.13

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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.