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Finding the Fourth Proportional to 780.48, 1,171.02 and 293.58

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Solution

The fourth proportional to 780.48, 1,171.02 and 293.58 is: 440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.48 : 1,171.02 = 293.58 : x
  2. Step 2: Convert to fraction form
    780.48/1,171.02 = 293.58/x
  3. Step 3: Cross multiply
    780.48x = 1,171.02 × 293.58
  4. Step 4: Simplify right side
    780.48x = 343,788.05
  5. Step 5: Solve for x
    x = 343,788.05/780.48
  6. Step 6: Final answer
    x = 440.48

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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.