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Finding the Fourth Proportional to 1,322.31, 1,984.38 and 456.63

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Solution

The fourth proportional to 1,322.31, 1,984.38 and 456.63 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.31 : 1,984.38 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,322.31/1,984.38 = 456.63/x
  3. Step 3: Cross multiply
    1,322.31x = 1,984.38 × 456.63
  4. Step 4: Simplify right side
    1,322.31x = 906,127.44
  5. Step 5: Solve for x
    x = 906,127.44/1,322.31
  6. Step 6: Final answer
    x = 685.26

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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.