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Finding the Fourth Proportional to 1,258.55, 1,883.90 and 795.64

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Solution

The fourth proportional to 1,258.55, 1,883.90 and 795.64 is: 1,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.55 : 1,883.90 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,258.55/1,883.90 = 795.64/x
  3. Step 3: Cross multiply
    1,258.55x = 1,883.90 × 795.64
  4. Step 4: Simplify right side
    1,258.55x = 1,498,893.47
  5. Step 5: Solve for x
    x = 1,498,893.47/1,258.55
  6. Step 6: Final answer
    x = 1,190.97

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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.