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Finding the Fourth Proportional to 913.35, 1,367.96 and 692.94

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Solution

The fourth proportional to 913.35, 1,367.96 and 692.94 is: 1,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.35 : 1,367.96 = 692.94 : x
  2. Step 2: Convert to fraction form
    913.35/1,367.96 = 692.94/x
  3. Step 3: Cross multiply
    913.35x = 1,367.96 × 692.94
  4. Step 4: Simplify right side
    913.35x = 947,910.74
  5. Step 5: Solve for x
    x = 947,910.74/913.35
  6. Step 6: Final answer
    x = 1,037.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.