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Finding the Fourth Proportional to 910.99, 1,256.97 and 517.94

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Solution

The fourth proportional to 910.99, 1,256.97 and 517.94 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.99 : 1,256.97 = 517.94 : x
  2. Step 2: Convert to fraction form
    910.99/1,256.97 = 517.94/x
  3. Step 3: Cross multiply
    910.99x = 1,256.97 × 517.94
  4. Step 4: Simplify right side
    910.99x = 651,035.04
  5. Step 5: Solve for x
    x = 651,035.04/910.99
  6. Step 6: Final answer
    x = 714.65

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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.