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Finding the Fourth Proportional to 910.41, 1,256.45 and 517.56

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Solution

The fourth proportional to 910.41, 1,256.45 and 517.56 is: 714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.41 : 1,256.45 = 517.56 : x
  2. Step 2: Convert to fraction form
    910.41/1,256.45 = 517.56/x
  3. Step 3: Cross multiply
    910.41x = 1,256.45 × 517.56
  4. Step 4: Simplify right side
    910.41x = 650,285.67
  5. Step 5: Solve for x
    x = 650,285.67/910.41
  6. Step 6: Final answer
    x = 714.28

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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.