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Finding the Fourth Proportional to 781.68, 1,171.74 and 319.32

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Solution

The fourth proportional to 781.68, 1,171.74 and 319.32 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,171.74 = 319.32 : x
  2. Step 2: Convert to fraction form
    781.68/1,171.74 = 319.32/x
  3. Step 3: Cross multiply
    781.68x = 1,171.74 × 319.32
  4. Step 4: Simplify right side
    781.68x = 374,160.02
  5. Step 5: Solve for x
    x = 374,160.02/781.68
  6. Step 6: Final answer
    x = 478.66

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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.