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Finding the Fourth Proportional to 931.05, 1,394.74 and 566.55

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Solution

The fourth proportional to 931.05, 1,394.74 and 566.55 is: 848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,394.74 = 566.55 : x
  2. Step 2: Convert to fraction form
    931.05/1,394.74 = 566.55/x
  3. Step 3: Cross multiply
    931.05x = 1,394.74 × 566.55
  4. Step 4: Simplify right side
    931.05x = 790,189.95
  5. Step 5: Solve for x
    x = 790,189.95/931.05
  6. Step 6: Final answer
    x = 848.71

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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.