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Finding the Fourth Proportional to 1,048.49, 1,446.97 and 576.41

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Solution

The fourth proportional to 1,048.49, 1,446.97 and 576.41 is: 795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.49 : 1,446.97 = 576.41 : x
  2. Step 2: Convert to fraction form
    1,048.49/1,446.97 = 576.41/x
  3. Step 3: Cross multiply
    1,048.49x = 1,446.97 × 576.41
  4. Step 4: Simplify right side
    1,048.49x = 834,047.98
  5. Step 5: Solve for x
    x = 834,047.98/1,048.49
  6. Step 6: Final answer
    x = 795.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.