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Finding the Fourth Proportional to 1,040.70, 1,557.39 and 822

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Solution

The fourth proportional to 1,040.70, 1,557.39 and 822 is: 1,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.70 : 1,557.39 = 822 : x
  2. Step 2: Convert to fraction form
    1,040.70/1,557.39 = 822/x
  3. Step 3: Cross multiply
    1,040.70x = 1,557.39 × 822
  4. Step 4: Simplify right side
    1,040.70x = 1,280,174.58
  5. Step 5: Solve for x
    x = 1,280,174.58/1,040.70
  6. Step 6: Final answer
    x = 1,230.11

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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.