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Finding the Fourth Proportional to 1,401.21, 1,932.71 and 841.23

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Solution

The fourth proportional to 1,401.21, 1,932.71 and 841.23 is: 1,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.21 : 1,932.71 = 841.23 : x
  2. Step 2: Convert to fraction form
    1,401.21/1,932.71 = 841.23/x
  3. Step 3: Cross multiply
    1,401.21x = 1,932.71 × 841.23
  4. Step 4: Simplify right side
    1,401.21x = 1,625,849.43
  5. Step 5: Solve for x
    x = 1,625,849.43/1,401.21
  6. Step 6: Final answer
    x = 1,160.32

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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.