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Finding the Fourth Proportional to 1,443.86, 2,164.57 and 621.51

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Solution

The fourth proportional to 1,443.86, 2,164.57 and 621.51 is: 931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.86 : 2,164.57 = 621.51 : x
  2. Step 2: Convert to fraction form
    1,443.86/2,164.57 = 621.51/x
  3. Step 3: Cross multiply
    1,443.86x = 2,164.57 × 621.51
  4. Step 4: Simplify right side
    1,443.86x = 1,345,295.73
  5. Step 5: Solve for x
    x = 1,345,295.73/1,443.86
  6. Step 6: Final answer
    x = 931.74

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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.