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Finding the Fourth Proportional to 1,347.29, 2,020.95 and 731.29

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Solution

The fourth proportional to 1,347.29, 2,020.95 and 731.29 is: 1,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.29 : 2,020.95 = 731.29 : x
  2. Step 2: Convert to fraction form
    1,347.29/2,020.95 = 731.29/x
  3. Step 3: Cross multiply
    1,347.29x = 2,020.95 × 731.29
  4. Step 4: Simplify right side
    1,347.29x = 1,477,900.53
  5. Step 5: Solve for x
    x = 1,477,900.53/1,347.29
  6. Step 6: Final answer
    x = 1,096.94

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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.