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Finding the Fourth Proportional to 1,001.04, 1,378.55 and 998.01

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Solution

The fourth proportional to 1,001.04, 1,378.55 and 998.01 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.04 : 1,378.55 = 998.01 : x
  2. Step 2: Convert to fraction form
    1,001.04/1,378.55 = 998.01/x
  3. Step 3: Cross multiply
    1,001.04x = 1,378.55 × 998.01
  4. Step 4: Simplify right side
    1,001.04x = 1,375,801.70
  5. Step 5: Solve for x
    x = 1,375,801.70/1,001.04
  6. Step 6: Final answer
    x = 1,374.37

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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.