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Finding the Fourth Proportional to 1,017.81, 1,405.89 and 738.97

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Solution

The fourth proportional to 1,017.81, 1,405.89 and 738.97 is: 1,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.81 : 1,405.89 = 738.97 : x
  2. Step 2: Convert to fraction form
    1,017.81/1,405.89 = 738.97/x
  3. Step 3: Cross multiply
    1,017.81x = 1,405.89 × 738.97
  4. Step 4: Simplify right side
    1,017.81x = 1,038,907.02
  5. Step 5: Solve for x
    x = 1,038,907.02/1,017.81
  6. Step 6: Final answer
    x = 1,020.73

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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.