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Finding the Fourth Proportional to 1,397.94, 1,926.48 and 1,004.28

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Solution

The fourth proportional to 1,397.94, 1,926.48 and 1,004.28 is: 1,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.94 : 1,926.48 = 1,004.28 : x
  2. Step 2: Convert to fraction form
    1,397.94/1,926.48 = 1,004.28/x
  3. Step 3: Cross multiply
    1,397.94x = 1,926.48 × 1,004.28
  4. Step 4: Simplify right side
    1,397.94x = 1,934,725.33
  5. Step 5: Solve for x
    x = 1,934,725.33/1,397.94
  6. Step 6: Final answer
    x = 1,383.98

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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.