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Finding the Fourth Proportional to 705.24, 1,057.68 and 416.52

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Solution

The fourth proportional to 705.24, 1,057.68 and 416.52 is: 624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.24 : 1,057.68 = 416.52 : x
  2. Step 2: Convert to fraction form
    705.24/1,057.68 = 416.52/x
  3. Step 3: Cross multiply
    705.24x = 1,057.68 × 416.52
  4. Step 4: Simplify right side
    705.24x = 440,544.87
  5. Step 5: Solve for x
    x = 440,544.87/705.24
  6. Step 6: Final answer
    x = 624.67

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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.