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Finding the Fourth Proportional to 1,071.31, 1,607.06 and 301.81

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Solution

The fourth proportional to 1,071.31, 1,607.06 and 301.81 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.31 : 1,607.06 = 301.81 : x
  2. Step 2: Convert to fraction form
    1,071.31/1,607.06 = 301.81/x
  3. Step 3: Cross multiply
    1,071.31x = 1,607.06 × 301.81
  4. Step 4: Simplify right side
    1,071.31x = 485,026.78
  5. Step 5: Solve for x
    x = 485,026.78/1,071.31
  6. Step 6: Final answer
    x = 452.74

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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.