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Finding the Fourth Proportional to 1,258.82, 1,885.77 and 824.66

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Solution

The fourth proportional to 1,258.82, 1,885.77 and 824.66 is: 1,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.82 : 1,885.77 = 824.66 : x
  2. Step 2: Convert to fraction form
    1,258.82/1,885.77 = 824.66/x
  3. Step 3: Cross multiply
    1,258.82x = 1,885.77 × 824.66
  4. Step 4: Simplify right side
    1,258.82x = 1,555,119.09
  5. Step 5: Solve for x
    x = 1,555,119.09/1,258.82
  6. Step 6: Final answer
    x = 1,235.38

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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.