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Finding the Fourth Proportional to 772.34, 1,066.57 and 477.70

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Solution

The fourth proportional to 772.34, 1,066.57 and 477.70 is: 659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.34 : 1,066.57 = 477.70 : x
  2. Step 2: Convert to fraction form
    772.34/1,066.57 = 477.70/x
  3. Step 3: Cross multiply
    772.34x = 1,066.57 × 477.70
  4. Step 4: Simplify right side
    772.34x = 509,496.63
  5. Step 5: Solve for x
    x = 509,496.63/772.34
  6. Step 6: Final answer
    x = 659.68

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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.