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Finding the Fourth Proportional to 1,087.42, 1,627.37 and 670.78

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Solution

The fourth proportional to 1,087.42, 1,627.37 and 670.78 is: 1,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.42 : 1,627.37 = 670.78 : x
  2. Step 2: Convert to fraction form
    1,087.42/1,627.37 = 670.78/x
  3. Step 3: Cross multiply
    1,087.42x = 1,627.37 × 670.78
  4. Step 4: Simplify right side
    1,087.42x = 1,091,607.25
  5. Step 5: Solve for x
    x = 1,091,607.25/1,087.42
  6. Step 6: Final answer
    x = 1,003.85

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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.