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Finding the Fourth Proportional to 766,361, 1,150,558.86 and 654,758.12

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Solution

The fourth proportional to 766,361, 1,150,558.86 and 654,758.12 is: 983,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,361 : 1,150,558.86 = 654,758.12 : x
  2. Step 2: Convert to fraction form
    766,361/1,150,558.86 = 654,758.12/x
  3. Step 3: Cross multiply
    766,361x = 1,150,558.86 × 654,758.12
  4. Step 4: Simplify right side
    766,361x = 753,337,756,122.94
  5. Step 5: Solve for x
    x = 753,337,756,122.94/766,361
  6. Step 6: Final answer
    x = 983,006.38

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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.