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Finding the Fourth Proportional to 772.07, 1,065.54 and 440.61

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Solution

The fourth proportional to 772.07, 1,065.54 and 440.61 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.07 : 1,065.54 = 440.61 : x
  2. Step 2: Convert to fraction form
    772.07/1,065.54 = 440.61/x
  3. Step 3: Cross multiply
    772.07x = 1,065.54 × 440.61
  4. Step 4: Simplify right side
    772.07x = 469,487.58
  5. Step 5: Solve for x
    x = 469,487.58/772.07
  6. Step 6: Final answer
    x = 608.09

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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.