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Finding the Fourth Proportional to 783,434.06, 1,074,098.04 and 769,262.30

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Solution

The fourth proportional to 783,434.06, 1,074,098.04 and 769,262.30 is: 1,054,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,434.06 : 1,074,098.04 = 769,262.30 : x
  2. Step 2: Convert to fraction form
    783,434.06/1,074,098.04 = 769,262.30/x
  3. Step 3: Cross multiply
    783,434.06x = 1,074,098.04 × 769,262.30
  4. Step 4: Simplify right side
    783,434.06x = 826,263,124,829.58
  5. Step 5: Solve for x
    x = 826,263,124,829.58/783,434.06
  6. Step 6: Final answer
    x = 1,054,668.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.