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Finding the Fourth Proportional to 1,009.92, 1,512.84 and 736.58

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Solution

The fourth proportional to 1,009.92, 1,512.84 and 736.58 is: 1,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.92 : 1,512.84 = 736.58 : x
  2. Step 2: Convert to fraction form
    1,009.92/1,512.84 = 736.58/x
  3. Step 3: Cross multiply
    1,009.92x = 1,512.84 × 736.58
  4. Step 4: Simplify right side
    1,009.92x = 1,114,327.69
  5. Step 5: Solve for x
    x = 1,114,327.69/1,009.92
  6. Step 6: Final answer
    x = 1,103.38

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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.