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Finding the Fourth Proportional to 1,047.09, 1,570.57 and 267.11

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Solution

The fourth proportional to 1,047.09, 1,570.57 and 267.11 is: 400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.09 : 1,570.57 = 267.11 : x
  2. Step 2: Convert to fraction form
    1,047.09/1,570.57 = 267.11/x
  3. Step 3: Cross multiply
    1,047.09x = 1,570.57 × 267.11
  4. Step 4: Simplify right side
    1,047.09x = 419,514.95
  5. Step 5: Solve for x
    x = 419,514.95/1,047.09
  6. Step 6: Final answer
    x = 400.65

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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.