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Finding the Fourth Proportional to 910.25, 1,256.18 and 537.21

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Solution

The fourth proportional to 910.25, 1,256.18 and 537.21 is: 741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.25 : 1,256.18 = 537.21 : x
  2. Step 2: Convert to fraction form
    910.25/1,256.18 = 537.21/x
  3. Step 3: Cross multiply
    910.25x = 1,256.18 × 537.21
  4. Step 4: Simplify right side
    910.25x = 674,836.94
  5. Step 5: Solve for x
    x = 674,836.94/910.25
  6. Step 6: Final answer
    x = 741.37

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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.