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Finding the Fourth Proportional to 715.30, 1,072.98 and 406.89

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Solution

The fourth proportional to 715.30, 1,072.98 and 406.89 is: 610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 1,072.98 = 406.89 : x
  2. Step 2: Convert to fraction form
    715.30/1,072.98 = 406.89/x
  3. Step 3: Cross multiply
    715.30x = 1,072.98 × 406.89
  4. Step 4: Simplify right side
    715.30x = 436,584.83
  5. Step 5: Solve for x
    x = 436,584.83/715.30
  6. Step 6: Final answer
    x = 610.35

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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.