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Finding the Fourth Proportional to 1,142.86, 1,713.74 and 484.06

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Solution

The fourth proportional to 1,142.86, 1,713.74 and 484.06 is: 725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.86 : 1,713.74 = 484.06 : x
  2. Step 2: Convert to fraction form
    1,142.86/1,713.74 = 484.06/x
  3. Step 3: Cross multiply
    1,142.86x = 1,713.74 × 484.06
  4. Step 4: Simplify right side
    1,142.86x = 829,552.98
  5. Step 5: Solve for x
    x = 829,552.98/1,142.86
  6. Step 6: Final answer
    x = 725.86

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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.