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Finding the Fourth Proportional to 911.32, 1,257.30 and 561.88

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Solution

The fourth proportional to 911.32, 1,257.30 and 561.88 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.32 : 1,257.30 = 561.88 : x
  2. Step 2: Convert to fraction form
    911.32/1,257.30 = 561.88/x
  3. Step 3: Cross multiply
    911.32x = 1,257.30 × 561.88
  4. Step 4: Simplify right side
    911.32x = 706,451.72
  5. Step 5: Solve for x
    x = 706,451.72/911.32
  6. Step 6: Final answer
    x = 775.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.