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Finding the Fourth Proportional to 873.24, 1,310.96 and 692.88

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Solution

The fourth proportional to 873.24, 1,310.96 and 692.88 is: 1,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.24 : 1,310.96 = 692.88 : x
  2. Step 2: Convert to fraction form
    873.24/1,310.96 = 692.88/x
  3. Step 3: Cross multiply
    873.24x = 1,310.96 × 692.88
  4. Step 4: Simplify right side
    873.24x = 908,337.96
  5. Step 5: Solve for x
    x = 908,337.96/873.24
  6. Step 6: Final answer
    x = 1,040.19

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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.