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Finding the Fourth Proportional to 1,147.41, 1,582.46 and 1,014.70

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Solution

The fourth proportional to 1,147.41, 1,582.46 and 1,014.70 is: 1,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.41 : 1,582.46 = 1,014.70 : x
  2. Step 2: Convert to fraction form
    1,147.41/1,582.46 = 1,014.70/x
  3. Step 3: Cross multiply
    1,147.41x = 1,582.46 × 1,014.70
  4. Step 4: Simplify right side
    1,147.41x = 1,605,722.16
  5. Step 5: Solve for x
    x = 1,605,722.16/1,147.41
  6. Step 6: Final answer
    x = 1,399.43

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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.