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Finding the Fourth Proportional to 1,128.58, 1,692.87 and 945.65

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Solution

The fourth proportional to 1,128.58, 1,692.87 and 945.65 is: 1,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.58 : 1,692.87 = 945.65 : x
  2. Step 2: Convert to fraction form
    1,128.58/1,692.87 = 945.65/x
  3. Step 3: Cross multiply
    1,128.58x = 1,692.87 × 945.65
  4. Step 4: Simplify right side
    1,128.58x = 1,600,866.42
  5. Step 5: Solve for x
    x = 1,600,866.42/1,128.58
  6. Step 6: Final answer
    x = 1,418.47

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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.