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Finding the Fourth Proportional to 692.98, 1,038.12 and 433.07

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Solution

The fourth proportional to 692.98, 1,038.12 and 433.07 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 1,038.12 = 433.07 : x
  2. Step 2: Convert to fraction form
    692.98/1,038.12 = 433.07/x
  3. Step 3: Cross multiply
    692.98x = 1,038.12 × 433.07
  4. Step 4: Simplify right side
    692.98x = 449,578.63
  5. Step 5: Solve for x
    x = 449,578.63/692.98
  6. Step 6: Final answer
    x = 648.77

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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.