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Finding the Fourth Proportional to 1,020.37, 1,408.02 and 600.74

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Solution

The fourth proportional to 1,020.37, 1,408.02 and 600.74 is: 828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.37 : 1,408.02 = 600.74 : x
  2. Step 2: Convert to fraction form
    1,020.37/1,408.02 = 600.74/x
  3. Step 3: Cross multiply
    1,020.37x = 1,408.02 × 600.74
  4. Step 4: Simplify right side
    1,020.37x = 845,853.93
  5. Step 5: Solve for x
    x = 845,853.93/1,020.37
  6. Step 6: Final answer
    x = 828.97

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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.