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Finding the Fourth Proportional to 1,000.86, 1,380.25 and 627.72

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Solution

The fourth proportional to 1,000.86, 1,380.25 and 627.72 is: 865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.86 : 1,380.25 = 627.72 : x
  2. Step 2: Convert to fraction form
    1,000.86/1,380.25 = 627.72/x
  3. Step 3: Cross multiply
    1,000.86x = 1,380.25 × 627.72
  4. Step 4: Simplify right side
    1,000.86x = 866,410.53
  5. Step 5: Solve for x
    x = 866,410.53/1,000.86
  6. Step 6: Final answer
    x = 865.67

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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.