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Finding the Fourth Proportional to 715.72, 1,072.84 and 406.91

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Solution

The fourth proportional to 715.72, 1,072.84 and 406.91 is: 609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.72 : 1,072.84 = 406.91 : x
  2. Step 2: Convert to fraction form
    715.72/1,072.84 = 406.91/x
  3. Step 3: Cross multiply
    715.72x = 1,072.84 × 406.91
  4. Step 4: Simplify right side
    715.72x = 436,549.32
  5. Step 5: Solve for x
    x = 436,549.32/715.72
  6. Step 6: Final answer
    x = 609.94

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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.