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Finding the Fourth Proportional to 761.02, 1,141.30 and 213.08

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Solution

The fourth proportional to 761.02, 1,141.30 and 213.08 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.02 : 1,141.30 = 213.08 : x
  2. Step 2: Convert to fraction form
    761.02/1,141.30 = 213.08/x
  3. Step 3: Cross multiply
    761.02x = 1,141.30 × 213.08
  4. Step 4: Simplify right side
    761.02x = 243,188.20
  5. Step 5: Solve for x
    x = 243,188.20/761.02
  6. Step 6: Final answer
    x = 319.56

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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.