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Finding the Fourth Proportional to 772.75, 1,066.29 and 474.13

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Solution

The fourth proportional to 772.75, 1,066.29 and 474.13 is: 654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,066.29 = 474.13 : x
  2. Step 2: Convert to fraction form
    772.75/1,066.29 = 474.13/x
  3. Step 3: Cross multiply
    772.75x = 1,066.29 × 474.13
  4. Step 4: Simplify right side
    772.75x = 505,554.75
  5. Step 5: Solve for x
    x = 505,554.75/772.75
  6. Step 6: Final answer
    x = 654.23

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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.