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Finding the Fourth Proportional to 1,040.02, 1,556.82 and 892.40

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Solution

The fourth proportional to 1,040.02, 1,556.82 and 892.40 is: 1,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.02 : 1,556.82 = 892.40 : x
  2. Step 2: Convert to fraction form
    1,040.02/1,556.82 = 892.40/x
  3. Step 3: Cross multiply
    1,040.02x = 1,556.82 × 892.40
  4. Step 4: Simplify right side
    1,040.02x = 1,389,306.17
  5. Step 5: Solve for x
    x = 1,389,306.17/1,040.02
  6. Step 6: Final answer
    x = 1,335.85

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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.