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Finding the Fourth Proportional to 1,506.72, 2,259.84 and 582

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Solution

The fourth proportional to 1,506.72, 2,259.84 and 582 is: 872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.72 : 2,259.84 = 582 : x
  2. Step 2: Convert to fraction form
    1,506.72/2,259.84 = 582/x
  3. Step 3: Cross multiply
    1,506.72x = 2,259.84 × 582
  4. Step 4: Simplify right side
    1,506.72x = 1,315,226.88
  5. Step 5: Solve for x
    x = 1,315,226.88/1,506.72
  6. Step 6: Final answer
    x = 872.91

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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.