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Finding the Fourth Proportional to 705.87, 1,059.26 and 462.87

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Solution

The fourth proportional to 705.87, 1,059.26 and 462.87 is: 694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 1,059.26 = 462.87 : x
  2. Step 2: Convert to fraction form
    705.87/1,059.26 = 462.87/x
  3. Step 3: Cross multiply
    705.87x = 1,059.26 × 462.87
  4. Step 4: Simplify right side
    705.87x = 490,297.36
  5. Step 5: Solve for x
    x = 490,297.36/705.87
  6. Step 6: Final answer
    x = 694.60

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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.