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Finding the Fourth Proportional to 1,063.68, 1,596 and 414.72

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Solution

The fourth proportional to 1,063.68, 1,596 and 414.72 is: 622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.68 : 1,596 = 414.72 : x
  2. Step 2: Convert to fraction form
    1,063.68/1,596 = 414.72/x
  3. Step 3: Cross multiply
    1,063.68x = 1,596 × 414.72
  4. Step 4: Simplify right side
    1,063.68x = 661,893.12
  5. Step 5: Solve for x
    x = 661,893.12/1,063.68
  6. Step 6: Final answer
    x = 622.27

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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.