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Finding the Fourth Proportional to 1,033.03, 1,425.46 and 590.80

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Solution

The fourth proportional to 1,033.03, 1,425.46 and 590.80 is: 815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.03 : 1,425.46 = 590.80 : x
  2. Step 2: Convert to fraction form
    1,033.03/1,425.46 = 590.80/x
  3. Step 3: Cross multiply
    1,033.03x = 1,425.46 × 590.80
  4. Step 4: Simplify right side
    1,033.03x = 842,161.77
  5. Step 5: Solve for x
    x = 842,161.77/1,033.03
  6. Step 6: Final answer
    x = 815.23

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