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Finding the Fourth Proportional to 1,128.38, 1,692.59 and 306.72

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Solution

The fourth proportional to 1,128.38, 1,692.59 and 306.72 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.38 : 1,692.59 = 306.72 : x
  2. Step 2: Convert to fraction form
    1,128.38/1,692.59 = 306.72/x
  3. Step 3: Cross multiply
    1,128.38x = 1,692.59 × 306.72
  4. Step 4: Simplify right side
    1,128.38x = 519,149.67
  5. Step 5: Solve for x
    x = 519,149.67/1,128.38
  6. Step 6: Final answer
    x = 460.09

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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.