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Finding the Fourth Proportional to 1,129.74, 1,692.47 and 885.52

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Solution

The fourth proportional to 1,129.74, 1,692.47 and 885.52 is: 1,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.74 : 1,692.47 = 885.52 : x
  2. Step 2: Convert to fraction form
    1,129.74/1,692.47 = 885.52/x
  3. Step 3: Cross multiply
    1,129.74x = 1,692.47 × 885.52
  4. Step 4: Simplify right side
    1,129.74x = 1,498,716.03
  5. Step 5: Solve for x
    x = 1,498,716.03/1,129.74
  6. Step 6: Final answer
    x = 1,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.