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Finding the Fourth Proportional to 760.73, 1,141.54 and 273.80

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Solution

The fourth proportional to 760.73, 1,141.54 and 273.80 is: 410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.73 : 1,141.54 = 273.80 : x
  2. Step 2: Convert to fraction form
    760.73/1,141.54 = 273.80/x
  3. Step 3: Cross multiply
    760.73x = 1,141.54 × 273.80
  4. Step 4: Simplify right side
    760.73x = 312,555.82
  5. Step 5: Solve for x
    x = 312,555.82/760.73
  6. Step 6: Final answer
    x = 410.87

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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.