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Finding the Fourth Proportional to 692.86, 1,038.84 and 486.28

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Solution

The fourth proportional to 692.86, 1,038.84 and 486.28 is: 729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 1,038.84 = 486.28 : x
  2. Step 2: Convert to fraction form
    692.86/1,038.84 = 486.28/x
  3. Step 3: Cross multiply
    692.86x = 1,038.84 × 486.28
  4. Step 4: Simplify right side
    692.86x = 505,167.12
  5. Step 5: Solve for x
    x = 505,167.12/692.86
  6. Step 6: Final answer
    x = 729.10

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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.