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Finding the Fourth Proportional to 772.06, 1,065.83 and 477.49

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Solution

The fourth proportional to 772.06, 1,065.83 and 477.49 is: 659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.06 : 1,065.83 = 477.49 : x
  2. Step 2: Convert to fraction form
    772.06/1,065.83 = 477.49/x
  3. Step 3: Cross multiply
    772.06x = 1,065.83 × 477.49
  4. Step 4: Simplify right side
    772.06x = 508,923.17
  5. Step 5: Solve for x
    x = 508,923.17/772.06
  6. Step 6: Final answer
    x = 659.18

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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.