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Finding the Fourth Proportional to 772.08, 1,065.46 and 440.51

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Solution

The fourth proportional to 772.08, 1,065.46 and 440.51 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.08 : 1,065.46 = 440.51 : x
  2. Step 2: Convert to fraction form
    772.08/1,065.46 = 440.51/x
  3. Step 3: Cross multiply
    772.08x = 1,065.46 × 440.51
  4. Step 4: Simplify right side
    772.08x = 469,342.94
  5. Step 5: Solve for x
    x = 469,342.94/772.08
  6. Step 6: Final answer
    x = 607.90

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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.