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Finding the Fourth Proportional to 842.53, 1,264.02 and 257.53

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Solution

The fourth proportional to 842.53, 1,264.02 and 257.53 is: 386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.53 : 1,264.02 = 257.53 : x
  2. Step 2: Convert to fraction form
    842.53/1,264.02 = 257.53/x
  3. Step 3: Cross multiply
    842.53x = 1,264.02 × 257.53
  4. Step 4: Simplify right side
    842.53x = 325,523.07
  5. Step 5: Solve for x
    x = 325,523.07/842.53
  6. Step 6: Final answer
    x = 386.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.