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Finding the Fourth Proportional to 931.05, 1,394.91 and 564.99

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Solution

The fourth proportional to 931.05, 1,394.91 and 564.99 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,394.91 = 564.99 : x
  2. Step 2: Convert to fraction form
    931.05/1,394.91 = 564.99/x
  3. Step 3: Cross multiply
    931.05x = 1,394.91 × 564.99
  4. Step 4: Simplify right side
    931.05x = 788,110.20
  5. Step 5: Solve for x
    x = 788,110.20/931.05
  6. Step 6: Final answer
    x = 846.47

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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.