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Finding the Fourth Proportional to 766.64, 1,057.97 and 435.13

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Solution

The fourth proportional to 766.64, 1,057.97 and 435.13 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.64 : 1,057.97 = 435.13 : x
  2. Step 2: Convert to fraction form
    766.64/1,057.97 = 435.13/x
  3. Step 3: Cross multiply
    766.64x = 1,057.97 × 435.13
  4. Step 4: Simplify right side
    766.64x = 460,352.93
  5. Step 5: Solve for x
    x = 460,352.93/766.64
  6. Step 6: Final answer
    x = 600.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.