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Finding the Fourth Proportional to 851.23, 1,270.63 and 730.27

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Solution

The fourth proportional to 851.23, 1,270.63 and 730.27 is: 1,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.23 : 1,270.63 = 730.27 : x
  2. Step 2: Convert to fraction form
    851.23/1,270.63 = 730.27/x
  3. Step 3: Cross multiply
    851.23x = 1,270.63 × 730.27
  4. Step 4: Simplify right side
    851.23x = 927,899.34
  5. Step 5: Solve for x
    x = 927,899.34/851.23
  6. Step 6: Final answer
    x = 1,090.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.