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Finding the Fourth Proportional to 905.12, 1,357.08 and 596.60

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Solution

The fourth proportional to 905.12, 1,357.08 and 596.60 is: 894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.12 : 1,357.08 = 596.60 : x
  2. Step 2: Convert to fraction form
    905.12/1,357.08 = 596.60/x
  3. Step 3: Cross multiply
    905.12x = 1,357.08 × 596.60
  4. Step 4: Simplify right side
    905.12x = 809,633.93
  5. Step 5: Solve for x
    x = 809,633.93/905.12
  6. Step 6: Final answer
    x = 894.50

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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.