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Finding the Fourth Proportional to 1,665.62, 2,497.95 and 495.57

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Solution

The fourth proportional to 1,665.62, 2,497.95 and 495.57 is: 743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.62 : 2,497.95 = 495.57 : x
  2. Step 2: Convert to fraction form
    1,665.62/2,497.95 = 495.57/x
  3. Step 3: Cross multiply
    1,665.62x = 2,497.95 × 495.57
  4. Step 4: Simplify right side
    1,665.62x = 1,237,909.08
  5. Step 5: Solve for x
    x = 1,237,909.08/1,665.62
  6. Step 6: Final answer
    x = 743.21

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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.