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Finding the Fourth Proportional to 1,114.06, 1,537.34 and 616.67

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Solution

The fourth proportional to 1,114.06, 1,537.34 and 616.67 is: 850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,537.34 = 616.67 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,537.34 = 616.67/x
  3. Step 3: Cross multiply
    1,114.06x = 1,537.34 × 616.67
  4. Step 4: Simplify right side
    1,114.06x = 948,026.03
  5. Step 5: Solve for x
    x = 948,026.03/1,114.06
  6. Step 6: Final answer
    x = 850.97

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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.