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Finding the Fourth Proportional to 1,029.03, 1,543.19 and 638.43

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Solution

The fourth proportional to 1,029.03, 1,543.19 and 638.43 is: 957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.03 : 1,543.19 = 638.43 : x
  2. Step 2: Convert to fraction form
    1,029.03/1,543.19 = 638.43/x
  3. Step 3: Cross multiply
    1,029.03x = 1,543.19 × 638.43
  4. Step 4: Simplify right side
    1,029.03x = 985,215.60
  5. Step 5: Solve for x
    x = 985,215.60/1,029.03
  6. Step 6: Final answer
    x = 957.42

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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.