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Finding the Fourth Proportional to 1,442.02, 2,162.85 and 620.30

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Solution

The fourth proportional to 1,442.02, 2,162.85 and 620.30 is: 930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.02 : 2,162.85 = 620.30 : x
  2. Step 2: Convert to fraction form
    1,442.02/2,162.85 = 620.30/x
  3. Step 3: Cross multiply
    1,442.02x = 2,162.85 × 620.30
  4. Step 4: Simplify right side
    1,442.02x = 1,341,615.86
  5. Step 5: Solve for x
    x = 1,341,615.86/1,442.02
  6. Step 6: Final answer
    x = 930.37

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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.