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Finding the Fourth Proportional to 760.76, 1,141.14 and 273.86

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Solution

The fourth proportional to 760.76, 1,141.14 and 273.86 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,141.14 = 273.86 : x
  2. Step 2: Convert to fraction form
    760.76/1,141.14 = 273.86/x
  3. Step 3: Cross multiply
    760.76x = 1,141.14 × 273.86
  4. Step 4: Simplify right side
    760.76x = 312,512.60
  5. Step 5: Solve for x
    x = 312,512.60/760.76
  6. Step 6: Final answer
    x = 410.79

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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.