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Finding the Fourth Proportional to 692.51, 1,037.72 and 418.29

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Solution

The fourth proportional to 692.51, 1,037.72 and 418.29 is: 626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.51 : 1,037.72 = 418.29 : x
  2. Step 2: Convert to fraction form
    692.51/1,037.72 = 418.29/x
  3. Step 3: Cross multiply
    692.51x = 1,037.72 × 418.29
  4. Step 4: Simplify right side
    692.51x = 434,065.81
  5. Step 5: Solve for x
    x = 434,065.81/692.51
  6. Step 6: Final answer
    x = 626.81

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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.