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Finding the Fourth Proportional to 1,307.70, 1,794.78 and 1,196.46

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Solution

The fourth proportional to 1,307.70, 1,794.78 and 1,196.46 is: 1,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.70 : 1,794.78 = 1,196.46 : x
  2. Step 2: Convert to fraction form
    1,307.70/1,794.78 = 1,196.46/x
  3. Step 3: Cross multiply
    1,307.70x = 1,794.78 × 1,196.46
  4. Step 4: Simplify right side
    1,307.70x = 2,147,382.48
  5. Step 5: Solve for x
    x = 2,147,382.48/1,307.70
  6. Step 6: Final answer
    x = 1,642.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.