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Finding the Fourth Proportional to 1,308.31, 1,963.59 and 759.73

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Solution

The fourth proportional to 1,308.31, 1,963.59 and 759.73 is: 1,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.31 : 1,963.59 = 759.73 : x
  2. Step 2: Convert to fraction form
    1,308.31/1,963.59 = 759.73/x
  3. Step 3: Cross multiply
    1,308.31x = 1,963.59 × 759.73
  4. Step 4: Simplify right side
    1,308.31x = 1,491,798.23
  5. Step 5: Solve for x
    x = 1,491,798.23/1,308.31
  6. Step 6: Final answer
    x = 1,140.25

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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.