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Finding the Fourth Proportional to 1,182.42, 1,772.30 and 401.69

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Solution

The fourth proportional to 1,182.42, 1,772.30 and 401.69 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.42 : 1,772.30 = 401.69 : x
  2. Step 2: Convert to fraction form
    1,182.42/1,772.30 = 401.69/x
  3. Step 3: Cross multiply
    1,182.42x = 1,772.30 × 401.69
  4. Step 4: Simplify right side
    1,182.42x = 711,920.62
  5. Step 5: Solve for x
    x = 711,920.62/1,182.42
  6. Step 6: Final answer
    x = 602.09

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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.