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Finding the Fourth Proportional to 1,063.92, 1,596.78 and 415.11

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Solution

The fourth proportional to 1,063.92, 1,596.78 and 415.11 is: 623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.92 : 1,596.78 = 415.11 : x
  2. Step 2: Convert to fraction form
    1,063.92/1,596.78 = 415.11/x
  3. Step 3: Cross multiply
    1,063.92x = 1,596.78 × 415.11
  4. Step 4: Simplify right side
    1,063.92x = 662,839.35
  5. Step 5: Solve for x
    x = 662,839.35/1,063.92
  6. Step 6: Final answer
    x = 623.02

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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.