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Finding the Fourth Proportional to 705.68, 1,057.06 and 416.96

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Solution

The fourth proportional to 705.68, 1,057.06 and 416.96 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 1,057.06 = 416.96 : x
  2. Step 2: Convert to fraction form
    705.68/1,057.06 = 416.96/x
  3. Step 3: Cross multiply
    705.68x = 1,057.06 × 416.96
  4. Step 4: Simplify right side
    705.68x = 440,751.74
  5. Step 5: Solve for x
    x = 440,751.74/705.68
  6. Step 6: Final answer
    x = 624.58

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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.