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Finding the Fourth Proportional to 1,196.70, 1,799.10 and 955.86

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Solution

The fourth proportional to 1,196.70, 1,799.10 and 955.86 is: 1,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.70 : 1,799.10 = 955.86 : x
  2. Step 2: Convert to fraction form
    1,196.70/1,799.10 = 955.86/x
  3. Step 3: Cross multiply
    1,196.70x = 1,799.10 × 955.86
  4. Step 4: Simplify right side
    1,196.70x = 1,719,687.73
  5. Step 5: Solve for x
    x = 1,719,687.73/1,196.70
  6. Step 6: Final answer
    x = 1,437.02

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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.