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Finding the Fourth Proportional to 780.53, 1,170.47 and 293.31

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Solution

The fourth proportional to 780.53, 1,170.47 and 293.31 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.53 : 1,170.47 = 293.31 : x
  2. Step 2: Convert to fraction form
    780.53/1,170.47 = 293.31/x
  3. Step 3: Cross multiply
    780.53x = 1,170.47 × 293.31
  4. Step 4: Simplify right side
    780.53x = 343,311.29
  5. Step 5: Solve for x
    x = 343,311.29/780.53
  6. Step 6: Final answer
    x = 439.85

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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.