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Finding the Fourth Proportional to 1,218.42, 1,827.65 and 396.69

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Solution

The fourth proportional to 1,218.42, 1,827.65 and 396.69 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.42 : 1,827.65 = 396.69 : x
  2. Step 2: Convert to fraction form
    1,218.42/1,827.65 = 396.69/x
  3. Step 3: Cross multiply
    1,218.42x = 1,827.65 × 396.69
  4. Step 4: Simplify right side
    1,218.42x = 724,999.36
  5. Step 5: Solve for x
    x = 724,999.36/1,218.42
  6. Step 6: Final answer
    x = 595.03

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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.