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Finding the Fourth Proportional to 1,452.09, 2,003.90 and 788.95

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Solution

The fourth proportional to 1,452.09, 2,003.90 and 788.95 is: 1,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.09 : 2,003.90 = 788.95 : x
  2. Step 2: Convert to fraction form
    1,452.09/2,003.90 = 788.95/x
  3. Step 3: Cross multiply
    1,452.09x = 2,003.90 × 788.95
  4. Step 4: Simplify right side
    1,452.09x = 1,580,967.15
  5. Step 5: Solve for x
    x = 1,580,967.15/1,452.09
  6. Step 6: Final answer
    x = 1,088.75

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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.