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Finding the Fourth Proportional to 780.07, 1,076.39 and 485.23

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Solution

The fourth proportional to 780.07, 1,076.39 and 485.23 is: 669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.07 : 1,076.39 = 485.23 : x
  2. Step 2: Convert to fraction form
    780.07/1,076.39 = 485.23/x
  3. Step 3: Cross multiply
    780.07x = 1,076.39 × 485.23
  4. Step 4: Simplify right side
    780.07x = 522,296.72
  5. Step 5: Solve for x
    x = 522,296.72/780.07
  6. Step 6: Final answer
    x = 669.55

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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.