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Finding the Fourth Proportional to 954.12, 1,429.56 and 863.40

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Solution

The fourth proportional to 954.12, 1,429.56 and 863.40 is: 1,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.12 : 1,429.56 = 863.40 : x
  2. Step 2: Convert to fraction form
    954.12/1,429.56 = 863.40/x
  3. Step 3: Cross multiply
    954.12x = 1,429.56 × 863.40
  4. Step 4: Simplify right side
    954.12x = 1,234,282.10
  5. Step 5: Solve for x
    x = 1,234,282.10/954.12
  6. Step 6: Final answer
    x = 1,293.63

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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.