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Finding the Fourth Proportional to 718.88, 1,072.41 and 693.63

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Solution

The fourth proportional to 718.88, 1,072.41 and 693.63 is: 1,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.88 : 1,072.41 = 693.63 : x
  2. Step 2: Convert to fraction form
    718.88/1,072.41 = 693.63/x
  3. Step 3: Cross multiply
    718.88x = 1,072.41 × 693.63
  4. Step 4: Simplify right side
    718.88x = 743,853.15
  5. Step 5: Solve for x
    x = 743,853.15/718.88
  6. Step 6: Final answer
    x = 1,034.75

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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.