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Finding the Fourth Proportional to 910.41, 1,256.39 and 517.42

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Solution

The fourth proportional to 910.41, 1,256.39 and 517.42 is: 714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.41 : 1,256.39 = 517.42 : x
  2. Step 2: Convert to fraction form
    910.41/1,256.39 = 517.42/x
  3. Step 3: Cross multiply
    910.41x = 1,256.39 × 517.42
  4. Step 4: Simplify right side
    910.41x = 650,085.15
  5. Step 5: Solve for x
    x = 650,085.15/910.41
  6. Step 6: Final answer
    x = 714.06

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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.