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Finding the Fourth Proportional to 1,196.64, 1,792.32 and 761.64

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Solution

The fourth proportional to 1,196.64, 1,792.32 and 761.64 is: 1,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.64 : 1,792.32 = 761.64 : x
  2. Step 2: Convert to fraction form
    1,196.64/1,792.32 = 761.64/x
  3. Step 3: Cross multiply
    1,196.64x = 1,792.32 × 761.64
  4. Step 4: Simplify right side
    1,196.64x = 1,365,102.60
  5. Step 5: Solve for x
    x = 1,365,102.60/1,196.64
  6. Step 6: Final answer
    x = 1,140.78

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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.