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Finding the Fourth Proportional to 1,043.03, 1,439.42 and 600.97

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Solution

The fourth proportional to 1,043.03, 1,439.42 and 600.97 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.03 : 1,439.42 = 600.97 : x
  2. Step 2: Convert to fraction form
    1,043.03/1,439.42 = 600.97/x
  3. Step 3: Cross multiply
    1,043.03x = 1,439.42 × 600.97
  4. Step 4: Simplify right side
    1,043.03x = 865,047.71
  5. Step 5: Solve for x
    x = 865,047.71/1,043.03
  6. Step 6: Final answer
    x = 829.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.