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Finding the Fourth Proportional to 760.80, 1,141.34 and 327.95

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Solution

The fourth proportional to 760.80, 1,141.34 and 327.95 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.80 : 1,141.34 = 327.95 : x
  2. Step 2: Convert to fraction form
    760.80/1,141.34 = 327.95/x
  3. Step 3: Cross multiply
    760.80x = 1,141.34 × 327.95
  4. Step 4: Simplify right side
    760.80x = 374,295.11
  5. Step 5: Solve for x
    x = 374,295.11/760.80
  6. Step 6: Final answer
    x = 491.98

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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.