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Finding the Fourth Proportional to 1,053.72, 1,453.83 and 831.96

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Solution

The fourth proportional to 1,053.72, 1,453.83 and 831.96 is: 1,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.72 : 1,453.83 = 831.96 : x
  2. Step 2: Convert to fraction form
    1,053.72/1,453.83 = 831.96/x
  3. Step 3: Cross multiply
    1,053.72x = 1,453.83 × 831.96
  4. Step 4: Simplify right side
    1,053.72x = 1,209,528.41
  5. Step 5: Solve for x
    x = 1,209,528.41/1,053.72
  6. Step 6: Final answer
    x = 1,147.87

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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.