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Finding the Fourth Proportional to 1,307.60, 1,961.40 and 789.20

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Solution

The fourth proportional to 1,307.60, 1,961.40 and 789.20 is: 1,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.60 : 1,961.40 = 789.20 : x
  2. Step 2: Convert to fraction form
    1,307.60/1,961.40 = 789.20/x
  3. Step 3: Cross multiply
    1,307.60x = 1,961.40 × 789.20
  4. Step 4: Simplify right side
    1,307.60x = 1,547,936.88
  5. Step 5: Solve for x
    x = 1,547,936.88/1,307.60
  6. Step 6: Final answer
    x = 1,183.80

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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.