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Finding the Fourth Proportional to 1,144.76, 1,717.14 and 414.17

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Solution

The fourth proportional to 1,144.76, 1,717.14 and 414.17 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.76 : 1,717.14 = 414.17 : x
  2. Step 2: Convert to fraction form
    1,144.76/1,717.14 = 414.17/x
  3. Step 3: Cross multiply
    1,144.76x = 1,717.14 × 414.17
  4. Step 4: Simplify right side
    1,144.76x = 711,179.29
  5. Step 5: Solve for x
    x = 711,179.29/1,144.76
  6. Step 6: Final answer
    x = 621.25

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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.