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Finding the Fourth Proportional to 1,009.45, 1,514.87 and 662.95

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Solution

The fourth proportional to 1,009.45, 1,514.87 and 662.95 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.45 : 1,514.87 = 662.95 : x
  2. Step 2: Convert to fraction form
    1,009.45/1,514.87 = 662.95/x
  3. Step 3: Cross multiply
    1,009.45x = 1,514.87 × 662.95
  4. Step 4: Simplify right side
    1,009.45x = 1,004,272.18
  5. Step 5: Solve for x
    x = 1,004,272.18/1,009.45
  6. Step 6: Final answer
    x = 994.88

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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.