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Finding the Fourth Proportional to 1,196.82, 1,796.58 and 956.25

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Solution

The fourth proportional to 1,196.82, 1,796.58 and 956.25 is: 1,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.82 : 1,796.58 = 956.25 : x
  2. Step 2: Convert to fraction form
    1,196.82/1,796.58 = 956.25/x
  3. Step 3: Cross multiply
    1,196.82x = 1,796.58 × 956.25
  4. Step 4: Simplify right side
    1,196.82x = 1,717,979.63
  5. Step 5: Solve for x
    x = 1,717,979.63/1,196.82
  6. Step 6: Final answer
    x = 1,435.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.