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Finding the Fourth Proportional to 1,255.58, 1,884.51 and 671.08

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Solution

The fourth proportional to 1,255.58, 1,884.51 and 671.08 is: 1,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.58 : 1,884.51 = 671.08 : x
  2. Step 2: Convert to fraction form
    1,255.58/1,884.51 = 671.08/x
  3. Step 3: Cross multiply
    1,255.58x = 1,884.51 × 671.08
  4. Step 4: Simplify right side
    1,255.58x = 1,264,656.97
  5. Step 5: Solve for x
    x = 1,264,656.97/1,255.58
  6. Step 6: Final answer
    x = 1,007.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.