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Finding the Fourth Proportional to 951.48, 1,420.38 and 828.44

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Solution

The fourth proportional to 951.48, 1,420.38 and 828.44 is: 1,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.48 : 1,420.38 = 828.44 : x
  2. Step 2: Convert to fraction form
    951.48/1,420.38 = 828.44/x
  3. Step 3: Cross multiply
    951.48x = 1,420.38 × 828.44
  4. Step 4: Simplify right side
    951.48x = 1,176,699.61
  5. Step 5: Solve for x
    x = 1,176,699.61/951.48
  6. Step 6: Final answer
    x = 1,236.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.