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Finding the Fourth Proportional to 1,293.82, 1,940.54 and 428.14

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Solution

The fourth proportional to 1,293.82, 1,940.54 and 428.14 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.82 : 1,940.54 = 428.14 : x
  2. Step 2: Convert to fraction form
    1,293.82/1,940.54 = 428.14/x
  3. Step 3: Cross multiply
    1,293.82x = 1,940.54 × 428.14
  4. Step 4: Simplify right side
    1,293.82x = 830,822.80
  5. Step 5: Solve for x
    x = 830,822.80/1,293.82
  6. Step 6: Final answer
    x = 642.15

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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.