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Finding the Fourth Proportional to 1,294.43, 1,941.75 and 416.93

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Solution

The fourth proportional to 1,294.43, 1,941.75 and 416.93 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.43 : 1,941.75 = 416.93 : x
  2. Step 2: Convert to fraction form
    1,294.43/1,941.75 = 416.93/x
  3. Step 3: Cross multiply
    1,294.43x = 1,941.75 × 416.93
  4. Step 4: Simplify right side
    1,294.43x = 809,564.12
  5. Step 5: Solve for x
    x = 809,564.12/1,294.43
  6. Step 6: Final answer
    x = 625.42

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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.