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Finding the Fourth Proportional to 692.45, 1,038.66 and 657.84

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Solution

The fourth proportional to 692.45, 1,038.66 and 657.84 is: 986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.45 : 1,038.66 = 657.84 : x
  2. Step 2: Convert to fraction form
    692.45/1,038.66 = 657.84/x
  3. Step 3: Cross multiply
    692.45x = 1,038.66 × 657.84
  4. Step 4: Simplify right side
    692.45x = 683,272.09
  5. Step 5: Solve for x
    x = 683,272.09/692.45
  6. Step 6: Final answer
    x = 986.75

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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.