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Finding the Fourth Proportional to 718.98, 1,071.63 and 677.97

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Solution

The fourth proportional to 718.98, 1,071.63 and 677.97 is: 1,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.98 : 1,071.63 = 677.97 : x
  2. Step 2: Convert to fraction form
    718.98/1,071.63 = 677.97/x
  3. Step 3: Cross multiply
    718.98x = 1,071.63 × 677.97
  4. Step 4: Simplify right side
    718.98x = 726,532.99
  5. Step 5: Solve for x
    x = 726,532.99/718.98
  6. Step 6: Final answer
    x = 1,010.51

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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.