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Finding the Fourth Proportional to 1,361.60, 1,878.98 and 764.15

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Solution

The fourth proportional to 1,361.60, 1,878.98 and 764.15 is: 1,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.60 : 1,878.98 = 764.15 : x
  2. Step 2: Convert to fraction form
    1,361.60/1,878.98 = 764.15/x
  3. Step 3: Cross multiply
    1,361.60x = 1,878.98 × 764.15
  4. Step 4: Simplify right side
    1,361.60x = 1,435,809.35
  5. Step 5: Solve for x
    x = 1,435,809.35/1,361.60
  6. Step 6: Final answer
    x = 1,054.51

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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.