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Finding the Fourth Proportional to 1,010.83, 1,516.72 and 523.62

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Solution

The fourth proportional to 1,010.83, 1,516.72 and 523.62 is: 785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.83 : 1,516.72 = 523.62 : x
  2. Step 2: Convert to fraction form
    1,010.83/1,516.72 = 523.62/x
  3. Step 3: Cross multiply
    1,010.83x = 1,516.72 × 523.62
  4. Step 4: Simplify right side
    1,010.83x = 794,177.34
  5. Step 5: Solve for x
    x = 794,177.34/1,010.83
  6. Step 6: Final answer
    x = 785.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.