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Finding the Fourth Proportional to 1,064, 1,596.54 and 414.56

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Solution

The fourth proportional to 1,064, 1,596.54 and 414.56 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064 : 1,596.54 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,064/1,596.54 = 414.56/x
  3. Step 3: Cross multiply
    1,064x = 1,596.54 × 414.56
  4. Step 4: Simplify right side
    1,064x = 661,861.62
  5. Step 5: Solve for x
    x = 661,861.62/1,064
  6. Step 6: Final answer
    x = 622.05

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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.