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Finding the Fourth Proportional to 781.93, 1,171.77 and 452.86

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Solution

The fourth proportional to 781.93, 1,171.77 and 452.86 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.93 : 1,171.77 = 452.86 : x
  2. Step 2: Convert to fraction form
    781.93/1,171.77 = 452.86/x
  3. Step 3: Cross multiply
    781.93x = 1,171.77 × 452.86
  4. Step 4: Simplify right side
    781.93x = 530,647.76
  5. Step 5: Solve for x
    x = 530,647.76/781.93
  6. Step 6: Final answer
    x = 678.64

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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.