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Finding the Fourth Proportional to 715.99, 1,074.16 and 423.74

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Solution

The fourth proportional to 715.99, 1,074.16 and 423.74 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.99 : 1,074.16 = 423.74 : x
  2. Step 2: Convert to fraction form
    715.99/1,074.16 = 423.74/x
  3. Step 3: Cross multiply
    715.99x = 1,074.16 × 423.74
  4. Step 4: Simplify right side
    715.99x = 455,164.56
  5. Step 5: Solve for x
    x = 455,164.56/715.99
  6. Step 6: Final answer
    x = 635.71

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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.