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Finding the Fourth Proportional to 1,451.96, 2,003.71 and 788.82

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Solution

The fourth proportional to 1,451.96, 2,003.71 and 788.82 is: 1,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.96 : 2,003.71 = 788.82 : x
  2. Step 2: Convert to fraction form
    1,451.96/2,003.71 = 788.82/x
  3. Step 3: Cross multiply
    1,451.96x = 2,003.71 × 788.82
  4. Step 4: Simplify right side
    1,451.96x = 1,580,566.52
  5. Step 5: Solve for x
    x = 1,580,566.52/1,451.96
  6. Step 6: Final answer
    x = 1,088.57

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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.