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Finding the Fourth Proportional to 1,137.14, 1,705.86 and 406.62

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Solution

The fourth proportional to 1,137.14, 1,705.86 and 406.62 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.14 : 1,705.86 = 406.62 : x
  2. Step 2: Convert to fraction form
    1,137.14/1,705.86 = 406.62/x
  3. Step 3: Cross multiply
    1,137.14x = 1,705.86 × 406.62
  4. Step 4: Simplify right side
    1,137.14x = 693,636.79
  5. Step 5: Solve for x
    x = 693,636.79/1,137.14
  6. Step 6: Final answer
    x = 609.98

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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.