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Finding the Fourth Proportional to 1,048.14, 1,446.44 and 576.03

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Solution

The fourth proportional to 1,048.14, 1,446.44 and 576.03 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,446.44 = 576.03 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,446.44 = 576.03/x
  3. Step 3: Cross multiply
    1,048.14x = 1,446.44 × 576.03
  4. Step 4: Simplify right side
    1,048.14x = 833,192.83
  5. Step 5: Solve for x
    x = 833,192.83/1,048.14
  6. Step 6: Final answer
    x = 794.93

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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.