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Finding the Fourth Proportional to 767.81, 1,151.31 and 455.76

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Solution

The fourth proportional to 767.81, 1,151.31 and 455.76 is: 683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,151.31 = 455.76 : x
  2. Step 2: Convert to fraction form
    767.81/1,151.31 = 455.76/x
  3. Step 3: Cross multiply
    767.81x = 1,151.31 × 455.76
  4. Step 4: Simplify right side
    767.81x = 524,722.75
  5. Step 5: Solve for x
    x = 524,722.75/767.81
  6. Step 6: Final answer
    x = 683.40

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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.