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Finding the Fourth Proportional to 722.49, 1,078.07 and 678.41

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Solution

The fourth proportional to 722.49, 1,078.07 and 678.41 is: 1,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 1,078.07 = 678.41 : x
  2. Step 2: Convert to fraction form
    722.49/1,078.07 = 678.41/x
  3. Step 3: Cross multiply
    722.49x = 1,078.07 × 678.41
  4. Step 4: Simplify right side
    722.49x = 731,372.77
  5. Step 5: Solve for x
    x = 731,372.77/722.49
  6. Step 6: Final answer
    x = 1,012.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.