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Finding the Fourth Proportional to 1,141.39, 1,575.27 and 847.49

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Solution

The fourth proportional to 1,141.39, 1,575.27 and 847.49 is: 1,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.39 : 1,575.27 = 847.49 : x
  2. Step 2: Convert to fraction form
    1,141.39/1,575.27 = 847.49/x
  3. Step 3: Cross multiply
    1,141.39x = 1,575.27 × 847.49
  4. Step 4: Simplify right side
    1,141.39x = 1,335,021.33
  5. Step 5: Solve for x
    x = 1,335,021.33/1,141.39
  6. Step 6: Final answer
    x = 1,169.65

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Double scale
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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.