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Finding the Fourth Proportional to 735.23, 1,014.90 and 601.27

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Solution

The fourth proportional to 735.23, 1,014.90 and 601.27 is: 830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.23 : 1,014.90 = 601.27 : x
  2. Step 2: Convert to fraction form
    735.23/1,014.90 = 601.27/x
  3. Step 3: Cross multiply
    735.23x = 1,014.90 × 601.27
  4. Step 4: Simplify right side
    735.23x = 610,234.91
  5. Step 5: Solve for x
    x = 610,234.91/735.23
  6. Step 6: Final answer
    x = 830.00

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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.