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Finding the Fourth Proportional to 1,216.92, 1,679.42 and 692.95

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Solution

The fourth proportional to 1,216.92, 1,679.42 and 692.95 is: 956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.92 : 1,679.42 = 692.95 : x
  2. Step 2: Convert to fraction form
    1,216.92/1,679.42 = 692.95/x
  3. Step 3: Cross multiply
    1,216.92x = 1,679.42 × 692.95
  4. Step 4: Simplify right side
    1,216.92x = 1,163,754.09
  5. Step 5: Solve for x
    x = 1,163,754.09/1,216.92
  6. Step 6: Final answer
    x = 956.31

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1.5x scale

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.