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Finding the Fourth Proportional to 766.51, 1,057.92 and 435.07

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Solution

The fourth proportional to 766.51, 1,057.92 and 435.07 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.51 : 1,057.92 = 435.07 : x
  2. Step 2: Convert to fraction form
    766.51/1,057.92 = 435.07/x
  3. Step 3: Cross multiply
    766.51x = 1,057.92 × 435.07
  4. Step 4: Simplify right side
    766.51x = 460,269.25
  5. Step 5: Solve for x
    x = 460,269.25/766.51
  6. Step 6: Final answer
    x = 600.47

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Why These Related Problems?

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