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Finding the Fourth Proportional to 781.61, 1,172.40 and 319.28

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Solution

The fourth proportional to 781.61, 1,172.40 and 319.28 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.61 : 1,172.40 = 319.28 : x
  2. Step 2: Convert to fraction form
    781.61/1,172.40 = 319.28/x
  3. Step 3: Cross multiply
    781.61x = 1,172.40 × 319.28
  4. Step 4: Simplify right side
    781.61x = 374,318.01
  5. Step 5: Solve for x
    x = 374,318.01/781.61
  6. Step 6: Final answer
    x = 478.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.