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Finding the Fourth Proportional to 1,425.24, 1,966.62 and 804.12

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Solution

The fourth proportional to 1,425.24, 1,966.62 and 804.12 is: 1,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.24 : 1,966.62 = 804.12 : x
  2. Step 2: Convert to fraction form
    1,425.24/1,966.62 = 804.12/x
  3. Step 3: Cross multiply
    1,425.24x = 1,966.62 × 804.12
  4. Step 4: Simplify right side
    1,425.24x = 1,581,398.47
  5. Step 5: Solve for x
    x = 1,581,398.47/1,425.24
  6. Step 6: Final answer
    x = 1,109.57

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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.