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Finding the Fourth Proportional to 842.52, 1,263.70 and 257.52

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Solution

The fourth proportional to 842.52, 1,263.70 and 257.52 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.52 : 1,263.70 = 257.52 : x
  2. Step 2: Convert to fraction form
    842.52/1,263.70 = 257.52/x
  3. Step 3: Cross multiply
    842.52x = 1,263.70 × 257.52
  4. Step 4: Simplify right side
    842.52x = 325,428.02
  5. Step 5: Solve for x
    x = 325,428.02/842.52
  6. Step 6: Final answer
    x = 386.26

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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.