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Finding the Fourth Proportional to 1,588.47, 2,382.69 and 613.89

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Solution

The fourth proportional to 1,588.47, 2,382.69 and 613.89 is: 920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.47 : 2,382.69 = 613.89 : x
  2. Step 2: Convert to fraction form
    1,588.47/2,382.69 = 613.89/x
  3. Step 3: Cross multiply
    1,588.47x = 2,382.69 × 613.89
  4. Step 4: Simplify right side
    1,588.47x = 1,462,709.56
  5. Step 5: Solve for x
    x = 1,462,709.56/1,588.47
  6. Step 6: Final answer
    x = 920.83

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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.