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Finding the Fourth Proportional to 1,012.57, 1,396.62 and 697.95

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Solution

The fourth proportional to 1,012.57, 1,396.62 and 697.95 is: 962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.57 : 1,396.62 = 697.95 : x
  2. Step 2: Convert to fraction form
    1,012.57/1,396.62 = 697.95/x
  3. Step 3: Cross multiply
    1,012.57x = 1,396.62 × 697.95
  4. Step 4: Simplify right side
    1,012.57x = 974,770.93
  5. Step 5: Solve for x
    x = 974,770.93/1,012.57
  6. Step 6: Final answer
    x = 962.67

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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.