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Finding the Fourth Proportional to 910.95, 1,257.07 and 556.74

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Solution

The fourth proportional to 910.95, 1,257.07 and 556.74 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.95 : 1,257.07 = 556.74 : x
  2. Step 2: Convert to fraction form
    910.95/1,257.07 = 556.74/x
  3. Step 3: Cross multiply
    910.95x = 1,257.07 × 556.74
  4. Step 4: Simplify right side
    910.95x = 699,864.34
  5. Step 5: Solve for x
    x = 699,864.34/910.95
  6. Step 6: Final answer
    x = 768.28

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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.