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Finding the Fourth Proportional to 910.93, 1,257.27 and 537.77

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Solution

The fourth proportional to 910.93, 1,257.27 and 537.77 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.93 : 1,257.27 = 537.77 : x
  2. Step 2: Convert to fraction form
    910.93/1,257.27 = 537.77/x
  3. Step 3: Cross multiply
    910.93x = 1,257.27 × 537.77
  4. Step 4: Simplify right side
    910.93x = 676,122.09
  5. Step 5: Solve for x
    x = 676,122.09/910.93
  6. Step 6: Final answer
    x = 742.23

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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.