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Finding the Fourth Proportional to 1,258.05, 1,884.60 and 823.89

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Solution

The fourth proportional to 1,258.05, 1,884.60 and 823.89 is: 1,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.05 : 1,884.60 = 823.89 : x
  2. Step 2: Convert to fraction form
    1,258.05/1,884.60 = 823.89/x
  3. Step 3: Cross multiply
    1,258.05x = 1,884.60 × 823.89
  4. Step 4: Simplify right side
    1,258.05x = 1,552,703.09
  5. Step 5: Solve for x
    x = 1,552,703.09/1,258.05
  6. Step 6: Final answer
    x = 1,234.21

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Why These Related Problems?

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