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Finding the Fourth Proportional to 1,513.83, 2,089.06 and 850.67

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Solution

The fourth proportional to 1,513.83, 2,089.06 and 850.67 is: 1,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.83 : 2,089.06 = 850.67 : x
  2. Step 2: Convert to fraction form
    1,513.83/2,089.06 = 850.67/x
  3. Step 3: Cross multiply
    1,513.83x = 2,089.06 × 850.67
  4. Step 4: Simplify right side
    1,513.83x = 1,777,103.77
  5. Step 5: Solve for x
    x = 1,777,103.77/1,513.83
  6. Step 6: Final answer
    x = 1,173.91

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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.