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Finding the Fourth Proportional to 910.81, 1,256.89 and 517.83

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Solution

The fourth proportional to 910.81, 1,256.89 and 517.83 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.81 : 1,256.89 = 517.83 : x
  2. Step 2: Convert to fraction form
    910.81/1,256.89 = 517.83/x
  3. Step 3: Cross multiply
    910.81x = 1,256.89 × 517.83
  4. Step 4: Simplify right side
    910.81x = 650,855.35
  5. Step 5: Solve for x
    x = 650,855.35/910.81
  6. Step 6: Final answer
    x = 714.59

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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.