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Finding the Fourth Proportional to 705.17, 1,057.76 and 414.71

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Solution

The fourth proportional to 705.17, 1,057.76 and 414.71 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.17 : 1,057.76 = 414.71 : x
  2. Step 2: Convert to fraction form
    705.17/1,057.76 = 414.71/x
  3. Step 3: Cross multiply
    705.17x = 1,057.76 × 414.71
  4. Step 4: Simplify right side
    705.17x = 438,658.36
  5. Step 5: Solve for x
    x = 438,658.36/705.17
  6. Step 6: Final answer
    x = 622.06

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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.