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Finding the Fourth Proportional to 1,063.79, 1,596.08 and 414.57

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Solution

The fourth proportional to 1,063.79, 1,596.08 and 414.57 is: 622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.79 : 1,596.08 = 414.57 : x
  2. Step 2: Convert to fraction form
    1,063.79/1,596.08 = 414.57/x
  3. Step 3: Cross multiply
    1,063.79x = 1,596.08 × 414.57
  4. Step 4: Simplify right side
    1,063.79x = 661,686.89
  5. Step 5: Solve for x
    x = 661,686.89/1,063.79
  6. Step 6: Final answer
    x = 622.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.