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Finding the Fourth Proportional to 1,322.95, 1,984.36 and 445.47

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Solution

The fourth proportional to 1,322.95, 1,984.36 and 445.47 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.95 : 1,984.36 = 445.47 : x
  2. Step 2: Convert to fraction form
    1,322.95/1,984.36 = 445.47/x
  3. Step 3: Cross multiply
    1,322.95x = 1,984.36 × 445.47
  4. Step 4: Simplify right side
    1,322.95x = 883,972.85
  5. Step 5: Solve for x
    x = 883,972.85/1,322.95
  6. Step 6: Final answer
    x = 668.18

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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.