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Finding the Fourth Proportional to 1,425.26, 1,966.81 and 894.43

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Solution

The fourth proportional to 1,425.26, 1,966.81 and 894.43 is: 1,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.26 : 1,966.81 = 894.43 : x
  2. Step 2: Convert to fraction form
    1,425.26/1,966.81 = 894.43/x
  3. Step 3: Cross multiply
    1,425.26x = 1,966.81 × 894.43
  4. Step 4: Simplify right side
    1,425.26x = 1,759,169.17
  5. Step 5: Solve for x
    x = 1,759,169.17/1,425.26
  6. Step 6: Final answer
    x = 1,234.28

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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.