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Finding the Fourth Proportional to 748.16, 1,033.80 and 582.80

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Solution

The fourth proportional to 748.16, 1,033.80 and 582.80 is: 805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.16 : 1,033.80 = 582.80 : x
  2. Step 2: Convert to fraction form
    748.16/1,033.80 = 582.80/x
  3. Step 3: Cross multiply
    748.16x = 1,033.80 × 582.80
  4. Step 4: Simplify right side
    748.16x = 602,498.64
  5. Step 5: Solve for x
    x = 602,498.64/748.16
  6. Step 6: Final answer
    x = 805.31

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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.