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Finding the Fourth Proportional to 1,020.88, 1,407.27 and 799.45

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Solution

The fourth proportional to 1,020.88, 1,407.27 and 799.45 is: 1,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.88 : 1,407.27 = 799.45 : x
  2. Step 2: Convert to fraction form
    1,020.88/1,407.27 = 799.45/x
  3. Step 3: Cross multiply
    1,020.88x = 1,407.27 × 799.45
  4. Step 4: Simplify right side
    1,020.88x = 1,125,042.00
  5. Step 5: Solve for x
    x = 1,125,042.00/1,020.88
  6. Step 6: Final answer
    x = 1,102.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.