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Finding the Fourth Proportional to 1,213.57, 1,820.66 and 694.16

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Solution

The fourth proportional to 1,213.57, 1,820.66 and 694.16 is: 1,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.57 : 1,820.66 = 694.16 : x
  2. Step 2: Convert to fraction form
    1,213.57/1,820.66 = 694.16/x
  3. Step 3: Cross multiply
    1,213.57x = 1,820.66 × 694.16
  4. Step 4: Simplify right side
    1,213.57x = 1,263,829.35
  5. Step 5: Solve for x
    x = 1,263,829.35/1,213.57
  6. Step 6: Final answer
    x = 1,041.41

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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.