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Finding the Fourth Proportional to 880.72, 1,321.40 and 412.61

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Solution

The fourth proportional to 880.72, 1,321.40 and 412.61 is: 619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.72 : 1,321.40 = 412.61 : x
  2. Step 2: Convert to fraction form
    880.72/1,321.40 = 412.61/x
  3. Step 3: Cross multiply
    880.72x = 1,321.40 × 412.61
  4. Step 4: Simplify right side
    880.72x = 545,222.85
  5. Step 5: Solve for x
    x = 545,222.85/880.72
  6. Step 6: Final answer
    x = 619.06

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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.