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Finding the Fourth Proportional to 1,322.62, 1,984.02 and 348.72

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Solution

The fourth proportional to 1,322.62, 1,984.02 and 348.72 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.62 : 1,984.02 = 348.72 : x
  2. Step 2: Convert to fraction form
    1,322.62/1,984.02 = 348.72/x
  3. Step 3: Cross multiply
    1,322.62x = 1,984.02 × 348.72
  4. Step 4: Simplify right side
    1,322.62x = 691,867.45
  5. Step 5: Solve for x
    x = 691,867.45/1,322.62
  6. Step 6: Final answer
    x = 523.10

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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.