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Finding the Fourth Proportional to 1,425.26, 1,966.86 and 804.26

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Solution

The fourth proportional to 1,425.26, 1,966.86 and 804.26 is: 1,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.26 : 1,966.86 = 804.26 : x
  2. Step 2: Convert to fraction form
    1,425.26/1,966.86 = 804.26/x
  3. Step 3: Cross multiply
    1,425.26x = 1,966.86 × 804.26
  4. Step 4: Simplify right side
    1,425.26x = 1,581,866.82
  5. Step 5: Solve for x
    x = 1,581,866.82/1,425.26
  6. Step 6: Final answer
    x = 1,109.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.