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Finding the Fourth Proportional to 1,506.96, 2,257.74 and 532.44

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Solution

The fourth proportional to 1,506.96, 2,257.74 and 532.44 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.96 : 2,257.74 = 532.44 : x
  2. Step 2: Convert to fraction form
    1,506.96/2,257.74 = 532.44/x
  3. Step 3: Cross multiply
    1,506.96x = 2,257.74 × 532.44
  4. Step 4: Simplify right side
    1,506.96x = 1,202,111.09
  5. Step 5: Solve for x
    x = 1,202,111.09/1,506.96
  6. Step 6: Final answer
    x = 797.71

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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.