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Finding the Fourth Proportional to 1,072.06, 1,479.44 and 630.21

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Solution

The fourth proportional to 1,072.06, 1,479.44 and 630.21 is: 869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.06 : 1,479.44 = 630.21 : x
  2. Step 2: Convert to fraction form
    1,072.06/1,479.44 = 630.21/x
  3. Step 3: Cross multiply
    1,072.06x = 1,479.44 × 630.21
  4. Step 4: Simplify right side
    1,072.06x = 932,361.46
  5. Step 5: Solve for x
    x = 932,361.46/1,072.06
  6. Step 6: Final answer
    x = 869.69

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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.