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Finding the Fourth Proportional to 1,452.06, 2,003.85 and 788.91

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Solution

The fourth proportional to 1,452.06, 2,003.85 and 788.91 is: 1,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.06 : 2,003.85 = 788.91 : x
  2. Step 2: Convert to fraction form
    1,452.06/2,003.85 = 788.91/x
  3. Step 3: Cross multiply
    1,452.06x = 2,003.85 × 788.91
  4. Step 4: Simplify right side
    1,452.06x = 1,580,863.44
  5. Step 5: Solve for x
    x = 1,580,863.44/1,452.06
  6. Step 6: Final answer
    x = 1,088.70

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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.