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Finding the Fourth Proportional to 1,397.27, 1,927.53 and 837.56

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Solution

The fourth proportional to 1,397.27, 1,927.53 and 837.56 is: 1,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.27 : 1,927.53 = 837.56 : x
  2. Step 2: Convert to fraction form
    1,397.27/1,927.53 = 837.56/x
  3. Step 3: Cross multiply
    1,397.27x = 1,927.53 × 837.56
  4. Step 4: Simplify right side
    1,397.27x = 1,614,426.85
  5. Step 5: Solve for x
    x = 1,614,426.85/1,397.27
  6. Step 6: Final answer
    x = 1,155.41

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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.