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Finding the Fourth Proportional to 1,000.19, 1,379.74 and 627.59

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Solution

The fourth proportional to 1,000.19, 1,379.74 and 627.59 is: 865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.19 : 1,379.74 = 627.59 : x
  2. Step 2: Convert to fraction form
    1,000.19/1,379.74 = 627.59/x
  3. Step 3: Cross multiply
    1,000.19x = 1,379.74 × 627.59
  4. Step 4: Simplify right side
    1,000.19x = 865,911.03
  5. Step 5: Solve for x
    x = 865,911.03/1,000.19
  6. Step 6: Final answer
    x = 865.75

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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.