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Finding the Fourth Proportional to 766.59, 1,057.90 and 435.02

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Solution

The fourth proportional to 766.59, 1,057.90 and 435.02 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.59 : 1,057.90 = 435.02 : x
  2. Step 2: Convert to fraction form
    766.59/1,057.90 = 435.02/x
  3. Step 3: Cross multiply
    766.59x = 1,057.90 × 435.02
  4. Step 4: Simplify right side
    766.59x = 460,207.44
  5. Step 5: Solve for x
    x = 460,207.44/766.59
  6. Step 6: Final answer
    x = 600.33

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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.