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Finding the Fourth Proportional to 692.10, 1,038.29 and 205.13

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Solution

The fourth proportional to 692.10, 1,038.29 and 205.13 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,038.29 = 205.13 : x
  2. Step 2: Convert to fraction form
    692.10/1,038.29 = 205.13/x
  3. Step 3: Cross multiply
    692.10x = 1,038.29 × 205.13
  4. Step 4: Simplify right side
    692.10x = 212,986.00
  5. Step 5: Solve for x
    x = 212,986.00/692.10
  6. Step 6: Final answer
    x = 307.74

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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.