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Finding the Fourth Proportional to 1,588.44, 2,382.65 and 613.86

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Solution

The fourth proportional to 1,588.44, 2,382.65 and 613.86 is: 920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.44 : 2,382.65 = 613.86 : x
  2. Step 2: Convert to fraction form
    1,588.44/2,382.65 = 613.86/x
  3. Step 3: Cross multiply
    1,588.44x = 2,382.65 × 613.86
  4. Step 4: Simplify right side
    1,588.44x = 1,462,610.46
  5. Step 5: Solve for x
    x = 1,462,610.46/1,588.44
  6. Step 6: Final answer
    x = 920.78

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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.