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Finding the Fourth Proportional to 1,322.29, 1,984.44 and 901.09

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Solution

The fourth proportional to 1,322.29, 1,984.44 and 901.09 is: 1,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.29 : 1,984.44 = 901.09 : x
  2. Step 2: Convert to fraction form
    1,322.29/1,984.44 = 901.09/x
  3. Step 3: Cross multiply
    1,322.29x = 1,984.44 × 901.09
  4. Step 4: Simplify right side
    1,322.29x = 1,788,154.53
  5. Step 5: Solve for x
    x = 1,788,154.53/1,322.29
  6. Step 6: Final answer
    x = 1,352.32

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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.