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Finding the Fourth Proportional to 1,262.94, 1,894.40 and 441.20

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Solution

The fourth proportional to 1,262.94, 1,894.40 and 441.20 is: 661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.94 : 1,894.40 = 441.20 : x
  2. Step 2: Convert to fraction form
    1,262.94/1,894.40 = 441.20/x
  3. Step 3: Cross multiply
    1,262.94x = 1,894.40 × 441.20
  4. Step 4: Simplify right side
    1,262.94x = 835,813.46
  5. Step 5: Solve for x
    x = 835,813.46/1,262.94
  6. Step 6: Final answer
    x = 661.80

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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.