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Finding the Fourth Proportional to 838.40, 1,255.20 and 742.40

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Solution

The fourth proportional to 838.40, 1,255.20 and 742.40 is: 1,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.40 : 1,255.20 = 742.40 : x
  2. Step 2: Convert to fraction form
    838.40/1,255.20 = 742.40/x
  3. Step 3: Cross multiply
    838.40x = 1,255.20 × 742.40
  4. Step 4: Simplify right side
    838.40x = 931,860.48
  5. Step 5: Solve for x
    x = 931,860.48/838.40
  6. Step 6: Final answer
    x = 1,111.47

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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.