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Finding the Fourth Proportional to 1,294.11, 1,941.29 and 416.39

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Solution

The fourth proportional to 1,294.11, 1,941.29 and 416.39 is: 624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.11 : 1,941.29 = 416.39 : x
  2. Step 2: Convert to fraction form
    1,294.11/1,941.29 = 416.39/x
  3. Step 3: Cross multiply
    1,294.11x = 1,941.29 × 416.39
  4. Step 4: Simplify right side
    1,294.11x = 808,333.74
  5. Step 5: Solve for x
    x = 808,333.74/1,294.11
  6. Step 6: Final answer
    x = 624.63

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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.