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Finding the Fourth Proportional to 1,322.73, 1,984.10 and 348.75

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Solution

The fourth proportional to 1,322.73, 1,984.10 and 348.75 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.73 : 1,984.10 = 348.75 : x
  2. Step 2: Convert to fraction form
    1,322.73/1,984.10 = 348.75/x
  3. Step 3: Cross multiply
    1,322.73x = 1,984.10 × 348.75
  4. Step 4: Simplify right side
    1,322.73x = 691,953.13
  5. Step 5: Solve for x
    x = 691,953.13/1,322.73
  6. Step 6: Final answer
    x = 523.13

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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.