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Finding the Fourth Proportional to 692.25, 1,036.82 and 418.01

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Solution

The fourth proportional to 692.25, 1,036.82 and 418.01 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,036.82 = 418.01 : x
  2. Step 2: Convert to fraction form
    692.25/1,036.82 = 418.01/x
  3. Step 3: Cross multiply
    692.25x = 1,036.82 × 418.01
  4. Step 4: Simplify right side
    692.25x = 433,393.85
  5. Step 5: Solve for x
    x = 433,393.85/692.25
  6. Step 6: Final answer
    x = 626.07

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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.