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Finding the Fourth Proportional to 706.21, 1,057.56 and 412.93

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Solution

The fourth proportional to 706.21, 1,057.56 and 412.93 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.21 : 1,057.56 = 412.93 : x
  2. Step 2: Convert to fraction form
    706.21/1,057.56 = 412.93/x
  3. Step 3: Cross multiply
    706.21x = 1,057.56 × 412.93
  4. Step 4: Simplify right side
    706.21x = 436,698.02
  5. Step 5: Solve for x
    x = 436,698.02/706.21
  6. Step 6: Final answer
    x = 618.37

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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.