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Finding the Fourth Proportional to 908.20, 1,254.18 and 742.60

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Solution

The fourth proportional to 908.20, 1,254.18 and 742.60 is: 1,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.20 : 1,254.18 = 742.60 : x
  2. Step 2: Convert to fraction form
    908.20/1,254.18 = 742.60/x
  3. Step 3: Cross multiply
    908.20x = 1,254.18 × 742.60
  4. Step 4: Simplify right side
    908.20x = 931,354.07
  5. Step 5: Solve for x
    x = 931,354.07/908.20
  6. Step 6: Final answer
    x = 1,025.49

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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.