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Finding the Fourth Proportional to 910.50, 1,256.43 and 517.51

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Solution

The fourth proportional to 910.50, 1,256.43 and 517.51 is: 714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,256.43 = 517.51 : x
  2. Step 2: Convert to fraction form
    910.50/1,256.43 = 517.51/x
  3. Step 3: Cross multiply
    910.50x = 1,256.43 × 517.51
  4. Step 4: Simplify right side
    910.50x = 650,215.09
  5. Step 5: Solve for x
    x = 650,215.09/910.50
  6. Step 6: Final answer
    x = 714.13

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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.