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Finding the Fourth Proportional to 1,144.84, 1,717.56 and 414.34

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Solution

The fourth proportional to 1,144.84, 1,717.56 and 414.34 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.84 : 1,717.56 = 414.34 : x
  2. Step 2: Convert to fraction form
    1,144.84/1,717.56 = 414.34/x
  3. Step 3: Cross multiply
    1,144.84x = 1,717.56 × 414.34
  4. Step 4: Simplify right side
    1,144.84x = 711,653.81
  5. Step 5: Solve for x
    x = 711,653.81/1,144.84
  6. Step 6: Final answer
    x = 621.62

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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.