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Finding the Fourth Proportional to 1,451.45, 2,002.97 and 788.28

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Solution

The fourth proportional to 1,451.45, 2,002.97 and 788.28 is: 1,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.45 : 2,002.97 = 788.28 : x
  2. Step 2: Convert to fraction form
    1,451.45/2,002.97 = 788.28/x
  3. Step 3: Cross multiply
    1,451.45x = 2,002.97 × 788.28
  4. Step 4: Simplify right side
    1,451.45x = 1,578,897.25
  5. Step 5: Solve for x
    x = 1,578,897.25/1,451.45
  6. Step 6: Final answer
    x = 1,087.81

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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.