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Finding the Fourth Proportional to 1,405.84, 1,940.06 and 816.42

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Solution

The fourth proportional to 1,405.84, 1,940.06 and 816.42 is: 1,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.84 : 1,940.06 = 816.42 : x
  2. Step 2: Convert to fraction form
    1,405.84/1,940.06 = 816.42/x
  3. Step 3: Cross multiply
    1,405.84x = 1,940.06 × 816.42
  4. Step 4: Simplify right side
    1,405.84x = 1,583,903.79
  5. Step 5: Solve for x
    x = 1,583,903.79/1,405.84
  6. Step 6: Final answer
    x = 1,126.66

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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.