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Finding the Fourth Proportional to 930.40, 1,395.96 and 828.46

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Solution

The fourth proportional to 930.40, 1,395.96 and 828.46 is: 1,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.40 : 1,395.96 = 828.46 : x
  2. Step 2: Convert to fraction form
    930.40/1,395.96 = 828.46/x
  3. Step 3: Cross multiply
    930.40x = 1,395.96 × 828.46
  4. Step 4: Simplify right side
    930.40x = 1,156,497.02
  5. Step 5: Solve for x
    x = 1,156,497.02/930.40
  6. Step 6: Final answer
    x = 1,243.01

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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.