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Finding the Fourth Proportional to 1,152.01, 1,589.82 and 641.00

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Solution

The fourth proportional to 1,152.01, 1,589.82 and 641.00 is: 884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.01 : 1,589.82 = 641.00 : x
  2. Step 2: Convert to fraction form
    1,152.01/1,589.82 = 641.00/x
  3. Step 3: Cross multiply
    1,152.01x = 1,589.82 × 641.00
  4. Step 4: Simplify right side
    1,152.01x = 1,019,076.19
  5. Step 5: Solve for x
    x = 1,019,076.19/1,152.01
  6. Step 6: Final answer
    x = 884.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.