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Finding the Fourth Proportional to 931.14, 1,396.36 and 410.78

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Solution

The fourth proportional to 931.14, 1,396.36 and 410.78 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.14 : 1,396.36 = 410.78 : x
  2. Step 2: Convert to fraction form
    931.14/1,396.36 = 410.78/x
  3. Step 3: Cross multiply
    931.14x = 1,396.36 × 410.78
  4. Step 4: Simplify right side
    931.14x = 573,596.76
  5. Step 5: Solve for x
    x = 573,596.76/931.14
  6. Step 6: Final answer
    x = 616.02

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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.