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Finding the Fourth Proportional to 1,063.86, 1,596.06 and 414.78

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Solution

The fourth proportional to 1,063.86, 1,596.06 and 414.78 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.86 : 1,596.06 = 414.78 : x
  2. Step 2: Convert to fraction form
    1,063.86/1,596.06 = 414.78/x
  3. Step 3: Cross multiply
    1,063.86x = 1,596.06 × 414.78
  4. Step 4: Simplify right side
    1,063.86x = 662,013.77
  5. Step 5: Solve for x
    x = 662,013.77/1,063.86
  6. Step 6: Final answer
    x = 622.28

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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.