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Finding the Fourth Proportional to 1,506.02, 2,257.59 and 640.82

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Solution

The fourth proportional to 1,506.02, 2,257.59 and 640.82 is: 960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.02 : 2,257.59 = 640.82 : x
  2. Step 2: Convert to fraction form
    1,506.02/2,257.59 = 640.82/x
  3. Step 3: Cross multiply
    1,506.02x = 2,257.59 × 640.82
  4. Step 4: Simplify right side
    1,506.02x = 1,446,708.82
  5. Step 5: Solve for x
    x = 1,446,708.82/1,506.02
  6. Step 6: Final answer
    x = 960.62

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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.