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Finding the Fourth Proportional to 1,215.86, 1,823.96 and 393.87

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Solution

The fourth proportional to 1,215.86, 1,823.96 and 393.87 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.86 : 1,823.96 = 393.87 : x
  2. Step 2: Convert to fraction form
    1,215.86/1,823.96 = 393.87/x
  3. Step 3: Cross multiply
    1,215.86x = 1,823.96 × 393.87
  4. Step 4: Simplify right side
    1,215.86x = 718,392.04
  5. Step 5: Solve for x
    x = 718,392.04/1,215.86
  6. Step 6: Final answer
    x = 590.85

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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.