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Finding the Fourth Proportional to 780.61, 1,170.57 and 415.31

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Solution

The fourth proportional to 780.61, 1,170.57 and 415.31 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.61 : 1,170.57 = 415.31 : x
  2. Step 2: Convert to fraction form
    780.61/1,170.57 = 415.31/x
  3. Step 3: Cross multiply
    780.61x = 1,170.57 × 415.31
  4. Step 4: Simplify right side
    780.61x = 486,152.35
  5. Step 5: Solve for x
    x = 486,152.35/780.61
  6. Step 6: Final answer
    x = 622.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.