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Finding the Fourth Proportional to 1,322.35, 1,823.18 and 849.41

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Solution

The fourth proportional to 1,322.35, 1,823.18 and 849.41 is: 1,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.35 : 1,823.18 = 849.41 : x
  2. Step 2: Convert to fraction form
    1,322.35/1,823.18 = 849.41/x
  3. Step 3: Cross multiply
    1,322.35x = 1,823.18 × 849.41
  4. Step 4: Simplify right side
    1,322.35x = 1,548,627.32
  5. Step 5: Solve for x
    x = 1,548,627.32/1,322.35
  6. Step 6: Final answer
    x = 1,171.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.