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Finding the Fourth Proportional to 1,196.84, 1,792.38 and 959.72

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Solution

The fourth proportional to 1,196.84, 1,792.38 and 959.72 is: 1,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.84 : 1,792.38 = 959.72 : x
  2. Step 2: Convert to fraction form
    1,196.84/1,792.38 = 959.72/x
  3. Step 3: Cross multiply
    1,196.84x = 1,792.38 × 959.72
  4. Step 4: Simplify right side
    1,196.84x = 1,720,182.93
  5. Step 5: Solve for x
    x = 1,720,182.93/1,196.84
  6. Step 6: Final answer
    x = 1,437.27

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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.