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Finding the Fourth Proportional to 1,009.44, 1,516.46 and 967.91

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Solution

The fourth proportional to 1,009.44, 1,516.46 and 967.91 is: 1,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.44 : 1,516.46 = 967.91 : x
  2. Step 2: Convert to fraction form
    1,009.44/1,516.46 = 967.91/x
  3. Step 3: Cross multiply
    1,009.44x = 1,516.46 × 967.91
  4. Step 4: Simplify right side
    1,009.44x = 1,467,784.38
  5. Step 5: Solve for x
    x = 1,467,784.38/1,009.44
  6. Step 6: Final answer
    x = 1,454.06

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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.