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Finding the Fourth Proportional to 780.35, 1,077.32 and 622.47

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Solution

The fourth proportional to 780.35, 1,077.32 and 622.47 is: 859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,077.32 = 622.47 : x
  2. Step 2: Convert to fraction form
    780.35/1,077.32 = 622.47/x
  3. Step 3: Cross multiply
    780.35x = 1,077.32 × 622.47
  4. Step 4: Simplify right side
    780.35x = 670,599.38
  5. Step 5: Solve for x
    x = 670,599.38/780.35
  6. Step 6: Final answer
    x = 859.36

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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.