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Finding the Fourth Proportional to 705.84, 1,057.38 and 416.70

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Solution

The fourth proportional to 705.84, 1,057.38 and 416.70 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,057.38 = 416.70 : x
  2. Step 2: Convert to fraction form
    705.84/1,057.38 = 416.70/x
  3. Step 3: Cross multiply
    705.84x = 1,057.38 × 416.70
  4. Step 4: Simplify right side
    705.84x = 440,610.25
  5. Step 5: Solve for x
    x = 440,610.25/705.84
  6. Step 6: Final answer
    x = 624.24

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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.