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Finding the Fourth Proportional to 708.94, 1,063.14 and 270.01

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Solution

The fourth proportional to 708.94, 1,063.14 and 270.01 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.94 : 1,063.14 = 270.01 : x
  2. Step 2: Convert to fraction form
    708.94/1,063.14 = 270.01/x
  3. Step 3: Cross multiply
    708.94x = 1,063.14 × 270.01
  4. Step 4: Simplify right side
    708.94x = 287,058.43
  5. Step 5: Solve for x
    x = 287,058.43/708.94
  6. Step 6: Final answer
    x = 404.91

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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.