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Finding the Fourth Proportional to 761.07, 1,141.53 and 213.24

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Solution

The fourth proportional to 761.07, 1,141.53 and 213.24 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.07 : 1,141.53 = 213.24 : x
  2. Step 2: Convert to fraction form
    761.07/1,141.53 = 213.24/x
  3. Step 3: Cross multiply
    761.07x = 1,141.53 × 213.24
  4. Step 4: Simplify right side
    761.07x = 243,419.86
  5. Step 5: Solve for x
    x = 243,419.86/761.07
  6. Step 6: Final answer
    x = 319.84

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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.