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Finding the Fourth Proportional to 1,451.18, 2,002.62 and 788.03

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Solution

The fourth proportional to 1,451.18, 2,002.62 and 788.03 is: 1,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.18 : 2,002.62 = 788.03 : x
  2. Step 2: Convert to fraction form
    1,451.18/2,002.62 = 788.03/x
  3. Step 3: Cross multiply
    1,451.18x = 2,002.62 × 788.03
  4. Step 4: Simplify right side
    1,451.18x = 1,578,114.63
  5. Step 5: Solve for x
    x = 1,578,114.63/1,451.18
  6. Step 6: Final answer
    x = 1,087.47

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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.