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Finding the Fourth Proportional to 1,144.82, 1,717.35 and 414.35

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Solution

The fourth proportional to 1,144.82, 1,717.35 and 414.35 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.82 : 1,717.35 = 414.35 : x
  2. Step 2: Convert to fraction form
    1,144.82/1,717.35 = 414.35/x
  3. Step 3: Cross multiply
    1,144.82x = 1,717.35 × 414.35
  4. Step 4: Simplify right side
    1,144.82x = 711,575.39
  5. Step 5: Solve for x
    x = 711,575.39/1,144.82
  6. Step 6: Final answer
    x = 621.56

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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.