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Finding the Fourth Proportional to 1,142.07, 1,713.09 and 276.38

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Solution

The fourth proportional to 1,142.07, 1,713.09 and 276.38 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.07 : 1,713.09 = 276.38 : x
  2. Step 2: Convert to fraction form
    1,142.07/1,713.09 = 276.38/x
  3. Step 3: Cross multiply
    1,142.07x = 1,713.09 × 276.38
  4. Step 4: Simplify right side
    1,142.07x = 473,455.25
  5. Step 5: Solve for x
    x = 473,455.25/1,142.07
  6. Step 6: Final answer
    x = 414.56

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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.