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Finding the Fourth Proportional to 1,451.29, 2,002.80 and 788.17

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Solution

The fourth proportional to 1,451.29, 2,002.80 and 788.17 is: 1,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.29 : 2,002.80 = 788.17 : x
  2. Step 2: Convert to fraction form
    1,451.29/2,002.80 = 788.17/x
  3. Step 3: Cross multiply
    1,451.29x = 2,002.80 × 788.17
  4. Step 4: Simplify right side
    1,451.29x = 1,578,546.88
  5. Step 5: Solve for x
    x = 1,578,546.88/1,451.29
  6. Step 6: Final answer
    x = 1,087.69

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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.