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Finding the Fourth Proportional to 1,347.83, 2,021.75 and 423.31

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Solution

The fourth proportional to 1,347.83, 2,021.75 and 423.31 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.83 : 2,021.75 = 423.31 : x
  2. Step 2: Convert to fraction form
    1,347.83/2,021.75 = 423.31/x
  3. Step 3: Cross multiply
    1,347.83x = 2,021.75 × 423.31
  4. Step 4: Simplify right side
    1,347.83x = 855,826.99
  5. Step 5: Solve for x
    x = 855,826.99/1,347.83
  6. Step 6: Final answer
    x = 634.97

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