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Finding the Fourth Proportional to 1,145.44, 1,717.68 and 414.56

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Solution

The fourth proportional to 1,145.44, 1,717.68 and 414.56 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.44 : 1,717.68 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,145.44/1,717.68 = 414.56/x
  3. Step 3: Cross multiply
    1,145.44x = 1,717.68 × 414.56
  4. Step 4: Simplify right side
    1,145.44x = 712,081.42
  5. Step 5: Solve for x
    x = 712,081.42/1,145.44
  6. Step 6: Final answer
    x = 621.67

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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.