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Finding the Fourth Proportional to 772.09, 1,065.50 and 422.79

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Solution

The fourth proportional to 772.09, 1,065.50 and 422.79 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.09 : 1,065.50 = 422.79 : x
  2. Step 2: Convert to fraction form
    772.09/1,065.50 = 422.79/x
  3. Step 3: Cross multiply
    772.09x = 1,065.50 × 422.79
  4. Step 4: Simplify right side
    772.09x = 450,482.75
  5. Step 5: Solve for x
    x = 450,482.75/772.09
  6. Step 6: Final answer
    x = 583.46

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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.