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Finding the Fourth Proportional to 692.71, 1,037.37 and 619.81

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Solution

The fourth proportional to 692.71, 1,037.37 and 619.81 is: 928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.71 : 1,037.37 = 619.81 : x
  2. Step 2: Convert to fraction form
    692.71/1,037.37 = 619.81/x
  3. Step 3: Cross multiply
    692.71x = 1,037.37 × 619.81
  4. Step 4: Simplify right side
    692.71x = 642,972.30
  5. Step 5: Solve for x
    x = 642,972.30/692.71
  6. Step 6: Final answer
    x = 928.20

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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.