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Finding the Fourth Proportional to 910.86, 1,256.96 and 537.87

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Solution

The fourth proportional to 910.86, 1,256.96 and 537.87 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.86 : 1,256.96 = 537.87 : x
  2. Step 2: Convert to fraction form
    910.86/1,256.96 = 537.87/x
  3. Step 3: Cross multiply
    910.86x = 1,256.96 × 537.87
  4. Step 4: Simplify right side
    910.86x = 676,078.39
  5. Step 5: Solve for x
    x = 676,078.39/910.86
  6. Step 6: Final answer
    x = 742.24

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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.