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Finding the Fourth Proportional to 1,196.33, 1,653.21 and 901.08

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Solution

The fourth proportional to 1,196.33, 1,653.21 and 901.08 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.33 : 1,653.21 = 901.08 : x
  2. Step 2: Convert to fraction form
    1,196.33/1,653.21 = 901.08/x
  3. Step 3: Cross multiply
    1,196.33x = 1,653.21 × 901.08
  4. Step 4: Simplify right side
    1,196.33x = 1,489,674.47
  5. Step 5: Solve for x
    x = 1,489,674.47/1,196.33
  6. Step 6: Final answer
    x = 1,245.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.