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Finding the Fourth Proportional to 1,337.02, 2,004.38 and 596.08

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Solution

The fourth proportional to 1,337.02, 2,004.38 and 596.08 is: 893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.02 : 2,004.38 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,337.02/2,004.38 = 596.08/x
  3. Step 3: Cross multiply
    1,337.02x = 2,004.38 × 596.08
  4. Step 4: Simplify right side
    1,337.02x = 1,194,770.83
  5. Step 5: Solve for x
    x = 1,194,770.83/1,337.02
  6. Step 6: Final answer
    x = 893.61

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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.