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Finding the Fourth Proportional to 1,385.88, 2,079.09 and 692.52

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Solution

The fourth proportional to 1,385.88, 2,079.09 and 692.52 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.88 : 2,079.09 = 692.52 : x
  2. Step 2: Convert to fraction form
    1,385.88/2,079.09 = 692.52/x
  3. Step 3: Cross multiply
    1,385.88x = 2,079.09 × 692.52
  4. Step 4: Simplify right side
    1,385.88x = 1,439,811.41
  5. Step 5: Solve for x
    x = 1,439,811.41/1,385.88
  6. Step 6: Final answer
    x = 1,038.91

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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.