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Finding the Fourth Proportional to 954.36, 1,426.01 and 730.76

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Solution

The fourth proportional to 954.36, 1,426.01 and 730.76 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.36 : 1,426.01 = 730.76 : x
  2. Step 2: Convert to fraction form
    954.36/1,426.01 = 730.76/x
  3. Step 3: Cross multiply
    954.36x = 1,426.01 × 730.76
  4. Step 4: Simplify right side
    954.36x = 1,042,067.41
  5. Step 5: Solve for x
    x = 1,042,067.41/954.36
  6. Step 6: Final answer
    x = 1,091.90

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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.