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Finding the Fourth Proportional to 1,216.44, 1,678.68 and 692.46

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Solution

The fourth proportional to 1,216.44, 1,678.68 and 692.46 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.44 : 1,678.68 = 692.46 : x
  2. Step 2: Convert to fraction form
    1,216.44/1,678.68 = 692.46/x
  3. Step 3: Cross multiply
    1,216.44x = 1,678.68 × 692.46
  4. Step 4: Simplify right side
    1,216.44x = 1,162,418.75
  5. Step 5: Solve for x
    x = 1,162,418.75/1,216.44
  6. Step 6: Final answer
    x = 955.59

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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.