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Finding the Fourth Proportional to 1,078.75, 1,618.46 and 750.03

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Solution

The fourth proportional to 1,078.75, 1,618.46 and 750.03 is: 1,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.75 : 1,618.46 = 750.03 : x
  2. Step 2: Convert to fraction form
    1,078.75/1,618.46 = 750.03/x
  3. Step 3: Cross multiply
    1,078.75x = 1,618.46 × 750.03
  4. Step 4: Simplify right side
    1,078.75x = 1,213,893.55
  5. Step 5: Solve for x
    x = 1,213,893.55/1,078.75
  6. Step 6: Final answer
    x = 1,125.28

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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.