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Finding the Fourth Proportional to 1,365.13, 1,883.87 and 744.13

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Solution

The fourth proportional to 1,365.13, 1,883.87 and 744.13 is: 1,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.13 : 1,883.87 = 744.13 : x
  2. Step 2: Convert to fraction form
    1,365.13/1,883.87 = 744.13/x
  3. Step 3: Cross multiply
    1,365.13x = 1,883.87 × 744.13
  4. Step 4: Simplify right side
    1,365.13x = 1,401,836.62
  5. Step 5: Solve for x
    x = 1,401,836.62/1,365.13
  6. Step 6: Final answer
    x = 1,026.89

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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.