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Finding the Fourth Proportional to 1,361.56, 1,878.93 and 764.07

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Solution

The fourth proportional to 1,361.56, 1,878.93 and 764.07 is: 1,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.56 : 1,878.93 = 764.07 : x
  2. Step 2: Convert to fraction form
    1,361.56/1,878.93 = 764.07/x
  3. Step 3: Cross multiply
    1,361.56x = 1,878.93 × 764.07
  4. Step 4: Simplify right side
    1,361.56x = 1,435,638.15
  5. Step 5: Solve for x
    x = 1,435,638.15/1,361.56
  6. Step 6: Final answer
    x = 1,054.40

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Why These Related Problems?

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