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Finding the Fourth Proportional to 760.95, 1,141.43 and 213.19

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Solution

The fourth proportional to 760.95, 1,141.43 and 213.19 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.95 : 1,141.43 = 213.19 : x
  2. Step 2: Convert to fraction form
    760.95/1,141.43 = 213.19/x
  3. Step 3: Cross multiply
    760.95x = 1,141.43 × 213.19
  4. Step 4: Simplify right side
    760.95x = 243,337.54
  5. Step 5: Solve for x
    x = 243,337.54/760.95
  6. Step 6: Final answer
    x = 319.78

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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.