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Finding the Fourth Proportional to 1,020.03, 1,529.63 and 629.91

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Solution

The fourth proportional to 1,020.03, 1,529.63 and 629.91 is: 944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.03 : 1,529.63 = 629.91 : x
  2. Step 2: Convert to fraction form
    1,020.03/1,529.63 = 629.91/x
  3. Step 3: Cross multiply
    1,020.03x = 1,529.63 × 629.91
  4. Step 4: Simplify right side
    1,020.03x = 963,529.23
  5. Step 5: Solve for x
    x = 963,529.23/1,020.03
  6. Step 6: Final answer
    x = 944.61

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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.