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Finding the Fourth Proportional to 1,040.95, 1,557.27 and 808.06

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Solution

The fourth proportional to 1,040.95, 1,557.27 and 808.06 is: 1,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.95 : 1,557.27 = 808.06 : x
  2. Step 2: Convert to fraction form
    1,040.95/1,557.27 = 808.06/x
  3. Step 3: Cross multiply
    1,040.95x = 1,557.27 × 808.06
  4. Step 4: Simplify right side
    1,040.95x = 1,258,367.60
  5. Step 5: Solve for x
    x = 1,258,367.60/1,040.95
  6. Step 6: Final answer
    x = 1,208.86

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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.