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Finding the Fourth Proportional to 1,294.64, 1,941.36 and 416.98

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Solution

The fourth proportional to 1,294.64, 1,941.36 and 416.98 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.64 : 1,941.36 = 416.98 : x
  2. Step 2: Convert to fraction form
    1,294.64/1,941.36 = 416.98/x
  3. Step 3: Cross multiply
    1,294.64x = 1,941.36 × 416.98
  4. Step 4: Simplify right side
    1,294.64x = 809,506.39
  5. Step 5: Solve for x
    x = 809,506.39/1,294.64
  6. Step 6: Final answer
    x = 625.28

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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.