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Finding the Fourth Proportional to 910.98, 1,257.12 and 556.92

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Solution

The fourth proportional to 910.98, 1,257.12 and 556.92 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.98 : 1,257.12 = 556.92 : x
  2. Step 2: Convert to fraction form
    910.98/1,257.12 = 556.92/x
  3. Step 3: Cross multiply
    910.98x = 1,257.12 × 556.92
  4. Step 4: Simplify right side
    910.98x = 700,115.27
  5. Step 5: Solve for x
    x = 700,115.27/910.98
  6. Step 6: Final answer
    x = 768.53

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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.