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Finding the Fourth Proportional to 1,020.63, 1,529.38 and 609.56

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Solution

The fourth proportional to 1,020.63, 1,529.38 and 609.56 is: 913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.63 : 1,529.38 = 609.56 : x
  2. Step 2: Convert to fraction form
    1,020.63/1,529.38 = 609.56/x
  3. Step 3: Cross multiply
    1,020.63x = 1,529.38 × 609.56
  4. Step 4: Simplify right side
    1,020.63x = 932,247.72
  5. Step 5: Solve for x
    x = 932,247.72/1,020.63
  6. Step 6: Final answer
    x = 913.40

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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.