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Finding the Fourth Proportional to 1,052.82, 1,570.05 and 923.43

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Solution

The fourth proportional to 1,052.82, 1,570.05 and 923.43 is: 1,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.82 : 1,570.05 = 923.43 : x
  2. Step 2: Convert to fraction form
    1,052.82/1,570.05 = 923.43/x
  3. Step 3: Cross multiply
    1,052.82x = 1,570.05 × 923.43
  4. Step 4: Simplify right side
    1,052.82x = 1,449,831.27
  5. Step 5: Solve for x
    x = 1,449,831.27/1,052.82
  6. Step 6: Final answer
    x = 1,377.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.