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Finding the Fourth Proportional to 1,452.10, 2,003.86 and 788.93

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Solution

The fourth proportional to 1,452.10, 2,003.86 and 788.93 is: 1,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.10 : 2,003.86 = 788.93 : x
  2. Step 2: Convert to fraction form
    1,452.10/2,003.86 = 788.93/x
  3. Step 3: Cross multiply
    1,452.10x = 2,003.86 × 788.93
  4. Step 4: Simplify right side
    1,452.10x = 1,580,910.28
  5. Step 5: Solve for x
    x = 1,580,910.28/1,452.10
  6. Step 6: Final answer
    x = 1,088.71

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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.