Home / 1,407.41-1,942.21-777.98

Finding the Fourth Proportional to 1,407.41, 1,942.21 and 777.98

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Solution

The fourth proportional to 1,407.41, 1,942.21 and 777.98 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.41 : 1,942.21 = 777.98 : x
  2. Step 2: Convert to fraction form
    1,407.41/1,942.21 = 777.98/x
  3. Step 3: Cross multiply
    1,407.41x = 1,942.21 × 777.98
  4. Step 4: Simplify right side
    1,407.41x = 1,511,000.54
  5. Step 5: Solve for x
    x = 1,511,000.54/1,407.41
  6. Step 6: Final answer
    x = 1,073.60

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Why These Related Problems?

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