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Finding the Fourth Proportional to 1,196.04, 1,792.98 and 426.36

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Solution

The fourth proportional to 1,196.04, 1,792.98 and 426.36 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.04 : 1,792.98 = 426.36 : x
  2. Step 2: Convert to fraction form
    1,196.04/1,792.98 = 426.36/x
  3. Step 3: Cross multiply
    1,196.04x = 1,792.98 × 426.36
  4. Step 4: Simplify right side
    1,196.04x = 764,454.95
  5. Step 5: Solve for x
    x = 764,454.95/1,196.04
  6. Step 6: Final answer
    x = 639.16

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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.