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Finding the Fourth Proportional to 760.80, 1,141.08 and 212.92

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Solution

The fourth proportional to 760.80, 1,141.08 and 212.92 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.80 : 1,141.08 = 212.92 : x
  2. Step 2: Convert to fraction form
    760.80/1,141.08 = 212.92/x
  3. Step 3: Cross multiply
    760.80x = 1,141.08 × 212.92
  4. Step 4: Simplify right side
    760.80x = 242,958.75
  5. Step 5: Solve for x
    x = 242,958.75/760.80
  6. Step 6: Final answer
    x = 319.35

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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.