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Finding the Fourth Proportional to 1,012.78, 1,396.76 and 698.55

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Solution

The fourth proportional to 1,012.78, 1,396.76 and 698.55 is: 963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.78 : 1,396.76 = 698.55 : x
  2. Step 2: Convert to fraction form
    1,012.78/1,396.76 = 698.55/x
  3. Step 3: Cross multiply
    1,012.78x = 1,396.76 × 698.55
  4. Step 4: Simplify right side
    1,012.78x = 975,706.70
  5. Step 5: Solve for x
    x = 975,706.70/1,012.78
  6. Step 6: Final answer
    x = 963.39

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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.