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Finding the Fourth Proportional to 1,226.35, 1,692.57 and 729.19

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Solution

The fourth proportional to 1,226.35, 1,692.57 and 729.19 is: 1,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.35 : 1,692.57 = 729.19 : x
  2. Step 2: Convert to fraction form
    1,226.35/1,692.57 = 729.19/x
  3. Step 3: Cross multiply
    1,226.35x = 1,692.57 × 729.19
  4. Step 4: Simplify right side
    1,226.35x = 1,234,205.12
  5. Step 5: Solve for x
    x = 1,234,205.12/1,226.35
  6. Step 6: Final answer
    x = 1,006.41

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Double scale
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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.