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Finding the Fourth Proportional to 1,966.47, 2,949.83 and 505.59

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Solution

The fourth proportional to 1,966.47, 2,949.83 and 505.59 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.47 : 2,949.83 = 505.59 : x
  2. Step 2: Convert to fraction form
    1,966.47/2,949.83 = 505.59/x
  3. Step 3: Cross multiply
    1,966.47x = 2,949.83 × 505.59
  4. Step 4: Simplify right side
    1,966.47x = 1,491,404.55
  5. Step 5: Solve for x
    x = 1,491,404.55/1,966.47
  6. Step 6: Final answer
    x = 758.42

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1.5x scale

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.