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Finding the Fourth Proportional to 763.15, 1,143.69 and 351.38

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Solution

The fourth proportional to 763.15, 1,143.69 and 351.38 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.15 : 1,143.69 = 351.38 : x
  2. Step 2: Convert to fraction form
    763.15/1,143.69 = 351.38/x
  3. Step 3: Cross multiply
    763.15x = 1,143.69 × 351.38
  4. Step 4: Simplify right side
    763.15x = 401,869.79
  5. Step 5: Solve for x
    x = 401,869.79/763.15
  6. Step 6: Final answer
    x = 526.59

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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.