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Finding the Fourth Proportional to 761.03, 1,141.53 and 213.36

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Solution

The fourth proportional to 761.03, 1,141.53 and 213.36 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.03 : 1,141.53 = 213.36 : x
  2. Step 2: Convert to fraction form
    761.03/1,141.53 = 213.36/x
  3. Step 3: Cross multiply
    761.03x = 1,141.53 × 213.36
  4. Step 4: Simplify right side
    761.03x = 243,556.84
  5. Step 5: Solve for x
    x = 243,556.84/761.03
  6. Step 6: Final answer
    x = 320.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.