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Finding the Fourth Proportional to 1,705.40, 2,558.24 and 609.49

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Solution

The fourth proportional to 1,705.40, 2,558.24 and 609.49 is: 914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.40 : 2,558.24 = 609.49 : x
  2. Step 2: Convert to fraction form
    1,705.40/2,558.24 = 609.49/x
  3. Step 3: Cross multiply
    1,705.40x = 2,558.24 × 609.49
  4. Step 4: Simplify right side
    1,705.40x = 1,559,221.70
  5. Step 5: Solve for x
    x = 1,559,221.70/1,705.40
  6. Step 6: Final answer
    x = 914.29

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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.