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Finding the Fourth Proportional to 706.14, 1,059.21 and 417.42

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Solution

The fourth proportional to 706.14, 1,059.21 and 417.42 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 1,059.21 = 417.42 : x
  2. Step 2: Convert to fraction form
    706.14/1,059.21 = 417.42/x
  3. Step 3: Cross multiply
    706.14x = 1,059.21 × 417.42
  4. Step 4: Simplify right side
    706.14x = 442,135.44
  5. Step 5: Solve for x
    x = 442,135.44/706.14
  6. Step 6: Final answer
    x = 626.13

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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.