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Finding the Fourth Proportional to 772.54, 1,066.16 and 477.70

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Solution

The fourth proportional to 772.54, 1,066.16 and 477.70 is: 659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.54 : 1,066.16 = 477.70 : x
  2. Step 2: Convert to fraction form
    772.54/1,066.16 = 477.70/x
  3. Step 3: Cross multiply
    772.54x = 1,066.16 × 477.70
  4. Step 4: Simplify right side
    772.54x = 509,304.63
  5. Step 5: Solve for x
    x = 509,304.63/772.54
  6. Step 6: Final answer
    x = 659.26

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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.