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Finding the Fourth Proportional to 1,009.01, 1,512.97 and 315.38

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Solution

The fourth proportional to 1,009.01, 1,512.97 and 315.38 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.01 : 1,512.97 = 315.38 : x
  2. Step 2: Convert to fraction form
    1,009.01/1,512.97 = 315.38/x
  3. Step 3: Cross multiply
    1,009.01x = 1,512.97 × 315.38
  4. Step 4: Simplify right side
    1,009.01x = 477,163.47
  5. Step 5: Solve for x
    x = 477,163.47/1,009.01
  6. Step 6: Final answer
    x = 472.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.