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Finding the Fourth Proportional to 994.51, 1,491.73 and 377.49

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Solution

The fourth proportional to 994.51, 1,491.73 and 377.49 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.51 : 1,491.73 = 377.49 : x
  2. Step 2: Convert to fraction form
    994.51/1,491.73 = 377.49/x
  3. Step 3: Cross multiply
    994.51x = 1,491.73 × 377.49
  4. Step 4: Simplify right side
    994.51x = 563,113.16
  5. Step 5: Solve for x
    x = 563,113.16/994.51
  6. Step 6: Final answer
    x = 566.22

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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.