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Finding the Fourth Proportional to 1,019.79, 1,525.37 and 628.83

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Solution

The fourth proportional to 1,019.79, 1,525.37 and 628.83 is: 940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.79 : 1,525.37 = 628.83 : x
  2. Step 2: Convert to fraction form
    1,019.79/1,525.37 = 628.83/x
  3. Step 3: Cross multiply
    1,019.79x = 1,525.37 × 628.83
  4. Step 4: Simplify right side
    1,019.79x = 959,195.27
  5. Step 5: Solve for x
    x = 959,195.27/1,019.79
  6. Step 6: Final answer
    x = 940.58

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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.