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Finding the Fourth Proportional to 1,196.76, 1,651.72 and 901.50

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Solution

The fourth proportional to 1,196.76, 1,651.72 and 901.50 is: 1,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.76 : 1,651.72 = 901.50 : x
  2. Step 2: Convert to fraction form
    1,196.76/1,651.72 = 901.50/x
  3. Step 3: Cross multiply
    1,196.76x = 1,651.72 × 901.50
  4. Step 4: Simplify right side
    1,196.76x = 1,489,025.58
  5. Step 5: Solve for x
    x = 1,489,025.58/1,196.76
  6. Step 6: Final answer
    x = 1,244.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.