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Finding the Fourth Proportional to 1,408.64, 1,943.62 and 841.73

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Solution

The fourth proportional to 1,408.64, 1,943.62 and 841.73 is: 1,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.64 : 1,943.62 = 841.73 : x
  2. Step 2: Convert to fraction form
    1,408.64/1,943.62 = 841.73/x
  3. Step 3: Cross multiply
    1,408.64x = 1,943.62 × 841.73
  4. Step 4: Simplify right side
    1,408.64x = 1,636,006.02
  5. Step 5: Solve for x
    x = 1,636,006.02/1,408.64
  6. Step 6: Final answer
    x = 1,161.41

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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.