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Finding the Fourth Proportional to 1,142.47, 1,713.77 and 362.49

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Solution

The fourth proportional to 1,142.47, 1,713.77 and 362.49 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.47 : 1,713.77 = 362.49 : x
  2. Step 2: Convert to fraction form
    1,142.47/1,713.77 = 362.49/x
  3. Step 3: Cross multiply
    1,142.47x = 1,713.77 × 362.49
  4. Step 4: Simplify right side
    1,142.47x = 621,224.49
  5. Step 5: Solve for x
    x = 621,224.49/1,142.47
  6. Step 6: Final answer
    x = 543.76

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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.