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Finding the Fourth Proportional to 692.15, 1,038.49 and 307.13

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Solution

The fourth proportional to 692.15, 1,038.49 and 307.13 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.15 : 1,038.49 = 307.13 : x
  2. Step 2: Convert to fraction form
    692.15/1,038.49 = 307.13/x
  3. Step 3: Cross multiply
    692.15x = 1,038.49 × 307.13
  4. Step 4: Simplify right side
    692.15x = 318,945.47
  5. Step 5: Solve for x
    x = 318,945.47/692.15
  6. Step 6: Final answer
    x = 460.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.