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Finding the Fourth Proportional to 1,347.82, 2,022 and 482.11

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Solution

The fourth proportional to 1,347.82, 2,022 and 482.11 is: 723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.82 : 2,022 = 482.11 : x
  2. Step 2: Convert to fraction form
    1,347.82/2,022 = 482.11/x
  3. Step 3: Cross multiply
    1,347.82x = 2,022 × 482.11
  4. Step 4: Simplify right side
    1,347.82x = 974,826.42
  5. Step 5: Solve for x
    x = 974,826.42/1,347.82
  6. Step 6: Final answer
    x = 723.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.