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Finding the Fourth Proportional to 1,000.09, 1,379.89 and 601.57

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Solution

The fourth proportional to 1,000.09, 1,379.89 and 601.57 is: 830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.09 : 1,379.89 = 601.57 : x
  2. Step 2: Convert to fraction form
    1,000.09/1,379.89 = 601.57/x
  3. Step 3: Cross multiply
    1,000.09x = 1,379.89 × 601.57
  4. Step 4: Simplify right side
    1,000.09x = 830,100.43
  5. Step 5: Solve for x
    x = 830,100.43/1,000.09
  6. Step 6: Final answer
    x = 830.03

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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.