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Finding the Fourth Proportional to 1,128.60, 1,692.32 and 398.07

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Solution

The fourth proportional to 1,128.60, 1,692.32 and 398.07 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.60 : 1,692.32 = 398.07 : x
  2. Step 2: Convert to fraction form
    1,128.60/1,692.32 = 398.07/x
  3. Step 3: Cross multiply
    1,128.60x = 1,692.32 × 398.07
  4. Step 4: Simplify right side
    1,128.60x = 673,659.83
  5. Step 5: Solve for x
    x = 673,659.83/1,128.60
  6. Step 6: Final answer
    x = 596.90

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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.