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Finding the Fourth Proportional to 1,405.78, 1,940.64 and 816.20

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Solution

The fourth proportional to 1,405.78, 1,940.64 and 816.20 is: 1,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.78 : 1,940.64 = 816.20 : x
  2. Step 2: Convert to fraction form
    1,405.78/1,940.64 = 816.20/x
  3. Step 3: Cross multiply
    1,405.78x = 1,940.64 × 816.20
  4. Step 4: Simplify right side
    1,405.78x = 1,583,950.37
  5. Step 5: Solve for x
    x = 1,583,950.37/1,405.78
  6. Step 6: Final answer
    x = 1,126.74

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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.