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Finding the Fourth Proportional to 910.94, 1,257.24 and 538.01

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Solution

The fourth proportional to 910.94, 1,257.24 and 538.01 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.94 : 1,257.24 = 538.01 : x
  2. Step 2: Convert to fraction form
    910.94/1,257.24 = 538.01/x
  3. Step 3: Cross multiply
    910.94x = 1,257.24 × 538.01
  4. Step 4: Simplify right side
    910.94x = 676,407.69
  5. Step 5: Solve for x
    x = 676,407.69/910.94
  6. Step 6: Final answer
    x = 742.54

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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.