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Finding the Fourth Proportional to 1,506.80, 2,259.80 and 532.80

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Solution

The fourth proportional to 1,506.80, 2,259.80 and 532.80 is: 799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.80 : 2,259.80 = 532.80 : x
  2. Step 2: Convert to fraction form
    1,506.80/2,259.80 = 532.80/x
  3. Step 3: Cross multiply
    1,506.80x = 2,259.80 × 532.80
  4. Step 4: Simplify right side
    1,506.80x = 1,204,021.44
  5. Step 5: Solve for x
    x = 1,204,021.44/1,506.80
  6. Step 6: Final answer
    x = 799.06

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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.