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Finding the Fourth Proportional to 1,347.42, 2,021.14 and 423.22

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Solution

The fourth proportional to 1,347.42, 2,021.14 and 423.22 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.42 : 2,021.14 = 423.22 : x
  2. Step 2: Convert to fraction form
    1,347.42/2,021.14 = 423.22/x
  3. Step 3: Cross multiply
    1,347.42x = 2,021.14 × 423.22
  4. Step 4: Simplify right side
    1,347.42x = 855,386.87
  5. Step 5: Solve for x
    x = 855,386.87/1,347.42
  6. Step 6: Final answer
    x = 634.83

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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.