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Finding the Fourth Proportional to 1,276.49, 1,914.51 and 443.58

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Solution

The fourth proportional to 1,276.49, 1,914.51 and 443.58 is: 665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.49 : 1,914.51 = 443.58 : x
  2. Step 2: Convert to fraction form
    1,276.49/1,914.51 = 443.58/x
  3. Step 3: Cross multiply
    1,276.49x = 1,914.51 × 443.58
  4. Step 4: Simplify right side
    1,276.49x = 849,232.83
  5. Step 5: Solve for x
    x = 849,232.83/1,276.49
  6. Step 6: Final answer
    x = 665.29

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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.