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Finding the Fourth Proportional to 780.00, 1,168.98 and 317.23

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Solution

The fourth proportional to 780.00, 1,168.98 and 317.23 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.00 : 1,168.98 = 317.23 : x
  2. Step 2: Convert to fraction form
    780.00/1,168.98 = 317.23/x
  3. Step 3: Cross multiply
    780.00x = 1,168.98 × 317.23
  4. Step 4: Simplify right side
    780.00x = 370,836.86
  5. Step 5: Solve for x
    x = 370,836.86/780.00
  6. Step 6: Final answer
    x = 475.43

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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.