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Finding the Fourth Proportional to 1,141.75, 1,713.27 and 483.58

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Solution

The fourth proportional to 1,141.75, 1,713.27 and 483.58 is: 725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.75 : 1,713.27 = 483.58 : x
  2. Step 2: Convert to fraction form
    1,141.75/1,713.27 = 483.58/x
  3. Step 3: Cross multiply
    1,141.75x = 1,713.27 × 483.58
  4. Step 4: Simplify right side
    1,141.75x = 828,494.54
  5. Step 5: Solve for x
    x = 828,494.54/1,141.75
  6. Step 6: Final answer
    x = 725.64

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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.