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Finding the Fourth Proportional to 772.07, 1,065.49 and 422.77

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Solution

The fourth proportional to 772.07, 1,065.49 and 422.77 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.07 : 1,065.49 = 422.77 : x
  2. Step 2: Convert to fraction form
    772.07/1,065.49 = 422.77/x
  3. Step 3: Cross multiply
    772.07x = 1,065.49 × 422.77
  4. Step 4: Simplify right side
    772.07x = 450,453.49
  5. Step 5: Solve for x
    x = 450,453.49/772.07
  6. Step 6: Final answer
    x = 583.43

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Half scale
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Double scale
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1.5x scale

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.